KI-net Publications

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  • R. Shvydkoy and E. Tadmor
    Topological models for emergent dynamics with short-range interactions
    Preprint - 2018

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  • Seung-Yeal Ha, Shi Jin and Jinwook Jung
    A local sensitivity analysis for the Kuramoto model with with random inputs in a large coupling regime,
    Preprint - 2018

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  • Jose A. Morales Escalante and Irene M. Gamba
    Galerkin Methods for Boltzmann-Poisson transport with reflection conditions on rough boundaries
    Journal of Computational Physics 363C (2018) 302-328.

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  • J. A. Carrillo, K. Craig and F. S. Patacchini
    A blob method for diffusion
    Preprint - 2018

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  • Endre Süli and Ghozlane Yahiaoui
    McKean-Vlasov diffusion and the well-posedness of the Hookean bead-spring-chain model for dilute polymeric fluids: small-mass limit and equilibration in momentum space
    Preprint - 2018

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  • Didier Bresch and Pierre-Emmanuel Jabin
    Quantitative estimates for advective equations with degenerate anelastic constraint
    Submitted - Proceedings of the 2018 ICM 2018

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  • Pierre-Emmanuel Jabin and Zhenfu Wang
    Quantitative estimates of propagation of chaos for stochastic systems with W^{-1,∞} kernels
    Submitted - Inventiones Matematicae 2018

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  • Seung-Yeal Ha, Shi Jin and Jinwook Jung
    A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs,
    Preprint - 2018

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  • Ruiwen Shu and Shi Jin
    A study of Landau damping with random initial inputs
    Preprint - 2018

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  • Benoit Perthame, Min Tang and Nicolas Vauchelet
    Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway
    Preprint - 2018

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  • Zheng Chen, Cory D. Hauck
    Multiscale convergence properties for spectral approximations of a model kinetic equation
    Preprint - 2018

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  • Didier Bresch and Pierre-Emmanuel Jabin
    Quantitative regularity estimates for compressible transport equations.
    Preprint - 2018

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  • Seung-Yeal Ha and Shi Jin
    Local sensitivity analysis for the Cucker-Smale model with random inputs
    Preprint - 2017

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  • Maria Colombo, Antonio De Rosa, Andrea Marchese and Salvatore Stuvard
    On the lower semicontinuous envelope of functionals defined on polyhedral chains
    Nonlinear Analysis 163 (2017) 201-215.

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  • R. Shvydkoy and E. Tadmor
    Eulerian dynamics with a commutator forcing III: Fractional diffusion of order 0<α<1
    Physica D (2017).

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  • R. Abgrall and S. Tokareva
    Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics
    SIAM SISC 39 (2017) A2317–A2344.

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  • Maria Colombo, Antonio De Rosa and Andrea Marchese
    Improved stability of optimal traffic paths
    Preprint - 2017

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  • Siming He and Eitan Tadmor
    Suppressing chemotactic blow-up through a fast splitting scenario on the plane
    Preprint - 2017

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  • Liu Liu and Shi Jin
    Hypocoercivity based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs,
    Preprint - 2017

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  • Di Fang and Jianfeng Lu
    A diabatic surface hopping algorithm based on time perturbation theory and semiclassical analysis
    Preprint - 2017

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  • Ruiwen Shu and Shi Jin
    Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime
    Preprint - 2017

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  • Pierre-Emmanuel Jabin and Zhenfu Wang
    Quantitative estimates of propagation of chaos for stochastic systems with $W^{-1, infty}$ kernels
    Submitted - 2017

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  • Jingwei Hu and Shi Jin
    Uncertainty quantification for kinetic equations
    Preprint - 2017

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  • Nicolas Crouseilles , Shi Jin , Mohammed Lemou, Liu Liu
    Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs
    Preprint - 2017

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  • S. He and E. Tadmor
    Global regularity of two-dimensional flocking hydrodynamics
    Submitted - https://arxiv.org/abs/1702.07535 2017

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  • Jian-Guo Liu, Jianfeng Lu, Dionisios Margetis and Jeremy L. Marzuola
    Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model
    Preprint - 2017

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  • Shi Jin and Yuhua Zhu
    Hypocoercivity and uniform regularity for the Vlasov-Poisson-Fokker-Planck system with uncertainty and multiple scales
    Preprint - 2017

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  • R. Shvydkoy and E. Tadmor
    Eulerian dynamics with a commutator forcing II: flocking
    Submitted - arXiv:1701.07710 2017

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  • Di Fang, Shi Jin and Christof Sparber
    An efficient time-splitting method for the Ehrenfest dynamics
    Preprint - 2017

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  • F. Ben Belgacem and P.E. Jabin
    Convergence of numerical approximations to non-linear continuity equations with rough force fields
    Preprint - 2017

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  • P.E. Jabin and H. Liu
    On a nonlocal selection-mutation model with a gradient flow structure
    Preprint - 2017

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  • Dieter Armbruster, Stephan Martin, Andrea Thatcher
    Elastic and inelastic collisions of swarms
    Physica D (2016).

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  • Dieter Armbruster, Sebastien Motsch, Andrea Thatcher
    Swarming in bounded domains
    Physica D (2016).

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  • Roman Shvydkoy and Eitan Tadmor
    Eulerian dynamics with a commutator forcing
    Submitted - arXiv:1612.04297 2016

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  • Dieter Armbruster, Matt Wienke
    Kinetic models and intrinsic timescales: simulation comparison for a 2nd order queueing model
    Submitted - Kinetic and Related Models 2016

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  • Irene M. Gamba, Jeffrey R. Haack, Cory D. Hauck, and Jingwei Hu
    A fast spectral method for the Boltzmann collision operator with general collision kernels
    Preprint - 2016

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  • Jacob Bedrossian, Nader Masmoudi, Clement Mouhot
    Landau damping in finite regularity for unconfined systems with screened interactions
    Preprint - 2016

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  • Jacob Bedrossian
    Nonlinear echoes and Landau damping with insufficient regularity
    Preprint - 2016

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  • Pierre-Emmanuel Jabin and Zhenfu Wang
    Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces
    Submitted - J. Funct. Anal. 2016

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  • Pierre-Emmanuel Jabin and Zhenfu Wang
    Mean Field Limit for Stochastic Particle Systems
    Submitted - Active Particles: Theory, Models, Applications, Birkhauser-Springer (Boston), series Modelling and Simulation in Science Engineering and Technology. 2016

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  • Ruiwen Shu, Jingwei Hu and Shi Jin
    A Stochastic Galerkin Method for the Boltzmann Equation with High Dimensional Random Inputs Using Sparse Grids
    Preprint - 2016

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  • Yuhua Zhu and Shi Jin
    The Vlasov-Poisson-Fokker-Planck system with uncertainty and a one-dimensional asymptotic-preserving method
    Preprint - 2016

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  • Shi Jin, Jian-Guo Liu and Zheng Ma
    Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition based asymptotic preserving met
    Preprint - 2016

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  • E. Tadmor
    Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws
    Discrete and Continuous Dynamical Systems-A 36(8) (2016) 4759-4598.

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  • Bin Cheng, Cesare Tronci and Endre Suli
    Existence of global weak solutions to a hybrid Vlasov-MHD model for magnetized plasmas
    Submitted - 2016

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  • Shi Jin and Hanqing Lu
    An Asymptotic-Preserving Stochastic Galerkin Method for the Radiative Heat Transfer Equations with Random Inputs and Diffusive Scalings
    Preprint - 2016

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  • Nicolas Crouseilles, Shi Jin and Mohammed Lemou
    Nonlinear geometric optics method based multi-scale numerical schemes for highly oscillatory transport equations
    Preprint - 2016

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  • Qin Li, Jianfeng Lu and Weiran Sun
    Validity and Regularization of Classical Half-Space Equations
    Preprint - 2016

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  • Jianfeng Lu and Zhennan Zhou
    Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms
    Preprint - 2016

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  • Jian-Guo Liu, Robert Pego and Dejan Slepčev
    Euler sprays and Wasserstein geometry of the space of shapes
    Preprint - 2016

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  • Lior M. Burko, Gaurav Khanna and Anıl Zenginoglu
    Cauchy-horizon singularity inside perturbed Kerr black holes
    Phys. Rev. D Rapid Communications 93 (2016) 041501.

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  • Benedetto Piccoli, Francesco Rossi and Emmanuel Trélat
    Sparse control of second-order cooperative systems and partial differential equations to approximate alignment
    in "Mathematical Theory of networks and systems" in 2016, Univerity of Minesota (2016).

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  • Michael Herty and Benedetto Piccoli
    Numerical method for the computation of tangent vectors to 2x2 hyperbolic systems of conservation laws
    Communication in Mathematical Sciences 14 (2016).

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  • Michael Herty and Wen-An Yong
    Feedback boundary control of linear hyperbolic systems with relaxation
    Submitted - Automatica 2016

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  • José A. Carrillo, Young-Pil Choi, Claudia Totzeck and Oliver Tse
    An analytical framework for a consensus-based global optimization method
    Preprint - 2016

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  • D. Bresch and P-E Jabin
    Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations
    Preprint - 2016

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  • Alethea B. T. Barbaro, Jose A. Canizo, Jose A. Carrillo and Pierre Degond
    Phase Transitions in a kinetic flocking model of Cucker-Smale type
    Preprint - 2016

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  • P-E Jabin and R. Schram
    Selection-Mutation dynamics with spatial dependence
    Preprint - 2016

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  • U. Fjordholm, R. Kappeli, S. Mishra and E. Tadmor
    Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws
    Foundations of Computational Mathematics (2015).

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  • Benedetto Piccoli, Francesco Rossi and Emmanuel Trélat
    Control to flocking of the kinetic Cucker-Smale model
    SIAM Journal on Mathematical Analysis 47 (2015) 4685-4719.

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  • Nastassia Pouradier Duteil, Francesco Rossi, Ugo Boscain and Benedetto Piccoli
    Developmental Partial Differential Equations
    in "Conference on Decision and Control", Decision and Control (CDC), 2015 IEEE 54th Annual Conference on in 2015, IEEE, Osaka, Japan (2015) 3181 - 3186..

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  • Alina Chertock, Shi Jin and Alexander Kurganov
    A well-balanced operator splitting based stochastic Galerkin method for the one-dimensional Saint-Venant system with uncertainty
    Preprint - 2015

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  • Shi Jin and Liu Liu
    An Asymptotic-Preserving Stochastic Galerkin Method for the Semiconductor Boltzmann Equation with Random Inputs and Diffusive Scalings
    Preprint - 2015

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  • C. Kris Garrett and Cory D. Hauck
    On the eigenstructure of spherical harmonic equations for radiative transport
    Preprint - 2015

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  • M. Paul Laiu, Cory D. Hauck, Ryan G. Mcclarren, Dianne P. O'Leary and Andre' L. Tits
    Positive filtered P_N moment closures for linear kinetic equations
    Preprint - 2015

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  • Alina Chertock, Shi Jin and Alexander Kurganov
    An operator splitting based stochastic Galerkin method for the one-dimensional Euler equations with uncertainty
    Preprint - 2015

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  • Jose Carrillo, Young-Pil Choi, Eitan Tadmor and Changhui Tan
    Critical thresholds in 1D Euler equations with nonlocal forces
    Mathematical Models and Methods in Applied Sciences 26(1) (2015) 185-206.

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  • E. Tadmor
    Mathematical aspects of self-organized dynamics. Consensus, emergence of leaders, and social hydrodynamics
    SIAM News 48(9) (2015).

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  • Benedetto Piccoli, Nastassia Pouradier Duteil and Benjamin Scharf
    Optimal Control of a Collective Migration Model
    Mathematical Models and Methods in Applied Sciences 26 (2015) 207-214.

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  • Didier Bresch and Pierre-Emmanuel Jabin
    Global Existence of Weak Solutions for Compresssible Navier--Stokes Equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor
    Preprint - 2015

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  • E. Tadmor
    Hierarchical construction of bounded solutions in critical regularity spaces
    Communications in Pure & Applied Mathematics (2015).

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  • Jingwei Hu and Shi Jin
    A stochastic Galerkin method for the Boltzmann equation with uncertainty
    Preprint - 2015

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  • Razvan C. Fetecau, Weiran Sun and Changhui Tan
    First-order aggregation models with alignment
    Preprint - 2015

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  • Ali Faraj and Shi Jin
    The Landau-Zener transition and the surface hopping method for the 2D Dirac equation for graphene
    Preprint - 2015

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  • Jianfeng Lu, Jian-Guo Liu and Dionisios Margetis
    Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions
    Physical Review E 91 (2015) 032403.

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  • Massimo Fornasier, Benedetto Piccoli and Francesco Rossi
    Mean-field sparse optimal control
    Phil. Trans. R. Soc. A 372 (2015) 20130400.

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  • Li Wang and Bokai Yan
    An asymptotic-preserving scheme for linear kinetic equation with fractional diffusion limit
    in "SIAM, CSE Meeting" in 2015, Salt Lake City (2015).

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  • Hailiang Liu, Wenli Cai and Ning Su
    Entropy satisfying schemes for computing selection dynamics in competitive interactions
    Submitted - SIAM J. Numer Anal. 2015

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  • Martin Frank, Cory Hauck and Kerstin Kupper
    Convergence of Filtered Spherical Harmonic Equations for Radiation Transport
    Preprint - 2015

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  • P.-E. Jabin and S. Junca
    A continuous model for ratings
    SIAM J. Appl. Math., to appear (2015).

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  • Jingrun Chen, Carlos J. Garcia-Cervera and Xu Yang
    Mean-field dynamics of the spin-magnetization coupling in ferromagnetic materials: Application to current-driven domain wall motions
    IEEE Transcations on Magnetics (2015).

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  • W. Cai, P.E. Jabin and H. Liu
    Time-asymptotic convergence rates towards the discrete evolutionary stable distribution
    Math. Methods Appl. Sci., To appear (2015).

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  • Jingrun Chen, Carlos J. Garcia-Cervera and Xu Yang
    A mean-field model for spin dynamics in multilayered ferromagnetic media
    Submitted - 2015

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  • Shi Jin, Dongbin Xiu and Xueyu Zhu
    Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings, ,
    Submitted - J. Comp. Phys. 2015

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  • L. Berlyand, P.-E. Jabin and M. Potomkin
    Complexity reduction in many particles systems with random initial data
    Submitted - JUQ 2015

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  • Kerstin Kupper, Martin Frank and Shi Jin
    An asymptotic-preserving 2-D staggered grid method for multiscale transport equations
    Preprint - 2015

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  • Thomas Rey and Changhui Tan
    An exact rescaling velocity method for some kinetic flocking models
    Preprint - 2015

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  • P.-E. Jabin, A. Miroshnikov and R. Young
    Cellulose Biodegradation Models; An Example of Cooperative Behaviour in Structured Populations
    Preprint - 2015

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  • Y. Cheng, I.M. Gamba, F. Li and P. Morrison
    Discontinuous Galerkin Methods for Vlasov-Maxwell Equations,
    Preprint - 2015

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  • C. Bardos, I.M. Gamba, F. Golse and Levermore
    Global Solutions of the Boltzmann equation over $R^d$ near globlal Maxwellians with small mass.
    Preprint - 2015

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  • I.M.Gamba and M-J. Kang
    Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions
    Preprint - 2015

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  • I.M.Gamba, J.R. Haack and S. Motsch
    Spectral method for a kinetic swarming model.
    Preprint - 2015

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  • Cesare Tronci and Enrico Camporeale
    Neutral Vlasov kinetic theory of magnetized plasmas
    Phys. Plasmas 22 (2015) 020704.

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  • Sebastien Motsch and Eitan Tadmor
    Heterophilious dynamics enhances consensus
    SIAM Review 56(4) (2014) 577-621.

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  • Massimo Fornasier, Benedetto Piccoli, Nastassia Pouradier Duteil and Francesco Rossi
    Mean-field Optimal Control by Leaders
    in "Conference on Decision and Control", Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on in 2014, IEEE, Los Angeles, CA (2014) 6957 - 6962..

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  • Antoine Mellet and Sara Merino-Aceituno
    Anomalous energy transport in FPU-β chain
    Preprint - 2014

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  • E. Tadmor and C. Tan
    Critical thresholds in flocking hydrodynamics with nonlocal alignment
    Proc. Royal Soc. A 372 (2014) 20130401.

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  • Changhui Tan
    A discontinuous Galerkin method on kinetic flocking models
    Preprint - 2014

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  • Jingwei Hu, Shi Jin, and Li Wang
    An asymptotic-preserving scheme for the semiconductor Boltzmann equation with two-scale collisions: a splitting approach,
    Preprint - 2014

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  • Pierre-Emmanuel Jabin and Sebastien Motsch
    Clustering and asymptotic behavior in opinion formation
    Journal of Differential Equations (2014).

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  • P.-E. Jabin
    A review of the mean field limits for Vlasov equations
    Preprint - 2014

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  • Shi Jin, Christof Sparber and Zhennan Zhou
    On the classical limit of a time-dependent self-consistent field system: analysis and computation
    Preprint - 2014

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  • Lihui Chai, Shi Jin, Qin Li and Omar Morandi
    A multi-band semiclassical model for surface hopping quantum dynamics
    Submitted - 2014

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  • Jingwei Hu and Li Wang
    An Asymptotic-Preserving Scheme for the Semiconductor Boltzmann Equation toward the Energy-Transport Limit
    Submitted - 2014

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  • W. Ren, H. Liu and S. Jin
    An Asymptotic-Preserving Monte Carlo Method for the Boltzmann Equation
    J. Comp. Phys. 276 (2014) 380-404.

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  • Leland Jefferis and Shi Jin
    A Gaussian Beam Method for High Frequency Solution of Symmetric Hyperbolic Systems with Polarized Waves
    Submitted - 2014

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  • Frederic Coquel, Shi Jin, Jian-Guo Liu and Li Wang
    Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate
    Submitted - 2014

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  • T. Goudon, S. Jin, Jian-Guo Liu, and Bokai Yan
    Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density
    International Journal for Numerical Methods in Fluids 75 (2014) 81-102.

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  • N. Bellomo and F. Brezzi
    Complex systems: New challenges with modeling headaches
    Mathematical Models and Methods in Applied Sciences 24 (2014) 213-219.

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  • Cesare Tronci, Emanuele Tassi, Enrico Camporeale and Philip J. Morrison
    Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian
    Plasma Phys. Control. Fusion 56 (2014) 095008.

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  • P. Degond, M. Herty and J.-G. Liu
    Flow on sweeping networks
    Preprint - 2014

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  • P. Degond, A. Frouvelle, J.-G. Liu
    Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
    Preprint - 2014

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  • Benoit Perthame and Delphine Salort
    On a voltage-conductance kinetic system for integrate&fire neural networks
    Kinetic and Related Models 6 (2013) 841--864.

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  • Shi Jin and Zhennan Zhou
    A semi-Lagrangian time splitting method for the Schrodinger equation with vector potentials
    Communications in Information and Systems 13 (2013) 247.

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  • Jeffrey Haack and Irene Gamba
    A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit
    Submitted - Journal of Computational Physics 2013

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  • Jerry L. Bona, Gustavo Ponce, Jean-Claude Saut and Christof Sparber
    Dispersive blow up for nonlinear Schroedinger equations revisited
    Preprint - 2013

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  • Yan Guo, Chanwoo Kim, Daniela Tonon and Ariane Trescases
    Regularity of the Boltzmann Equation in Convex Domains
    Preprint - 2013

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  • Nicola Bellomo, Miguel A. Herrero and Andrea Tosin
    On the dynamics of social conflicts: looking for the Black Swan
    Kinetic and Related Models 6 (2013) 459-479.

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  • P. Degond, J.-G. Liu and C. Ringhofer
    Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria
    J. Stat. Phys. (2013).

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  • Nicola Bellomo, Abdelghani Bellouquid, Juanjo Nieto and Juan Soler
    Modeling chemotaxis from L2-closure moments in kinetic theory of active particles
    Discrete and Continuous Dynamical Systems Series B 18 (2013) 847-863.

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  • Alessandro Munafo, Jeffrey Haack, Irene M. Gamba and Thierry Magin
    A Spectral-Lagrangian Boltzmann Solver for a Multi-Energy Level Gas
    Preprint - 2013

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  • V. Fleurov and A. Soffer
    Soliton in a well. Dynamics and Tunneling
    Preprint - 2013

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  • Francis Filbet and Thomas Rey
    A Rescaling Velocity Method for Dissipative Kinetic Equations – Applications to Granular Media
    Journal of Computational Physics (2013).

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  • A. Chertock, J.-G. Liu and T. Pendleton
    Elastic collisions among peakon solutions for the Camassa-Holm equation
    Submitted - 2013

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  • Nicolas Champagnat and Pierre-Emmanuel Jabin
    Strong solutions to stochastic differential equations with rough coefficients
    Preprint - 2013

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  • Xiuqing Chen and Jian-Guo LIu
    Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions
    J. Diff. Eqs. (2013).

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  • P. Degond, J.-G, Liu, S. Motsch, V. Panferov
    Hydrodynamic models of self-organized dynamics: derivation and existence theory
    Methods of Anal. Appl. (2013).

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  • P. Degond, A. Frouvell, J.-G. Liu
    Macroscopic limits and phase transition in a system of self-propelled particles
    J Nonlinear Sci (2013).

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  • M. Caponigro, M. Fornasier, B. Piccoli and E. Trélat
    Sparse stabilization and control of the Cucker-Smale model
    Submitted - SIAM Review 2013

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  • P. Degond, J.-G. Liu, C. Ringhofer
    A Nash equilibrium macroscopic closure for kinetic models coupled with Mean-Field Games
    Preprint - 2013

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  • M. Bongini, M. Fornasier, F. Fröhlich, and L. Haghverdi
    Sparse stabilization of dynamical systems driven by attraction and avoidance forces
    Preprint - 2013

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  • Leland Jefferis and Shi Jin
    Computing high frequency solutions of symmetric hyperbolic systems with polarized waves
    Preprint - 2012

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  • Shi Jin and Li Wang
    Asymptotic-preserving numerical schemes for the semiconductor Boltzmann equation efficient in the high field regime
    Preprint - 2012

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  • Lihui Chai, Shi Jin, and Qin Li,
    Semiclassical Models for the Schrodinger Equation with Periodic Potentials and Band Crossings
    Preprint - 2012

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  • Dongsheng Yin, Min Tang and Shi Jin
    The Gaussian beam method for the Wigner equation with discontinuous potentials
    Preprint - 2012

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  • Jingwei Hu and Lexing Ying
    A fast spectral algorithm for the quantum Boltzmann collision operator
    Commun. Math. Sci. 10 (2012) 989--999.

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  • Jingwei Hu and Lexing Ying
    A fast algorithm for the energy space boson Boltzmann collision operator
    Submitted - 2012

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  • Alina Chertock, Alexander Kurganov, Anthony Polizzi and Ilya Timofeyev
    Pedestrian Flow Models with Slowdown Interactions
    Submitted - 2012

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  • Hao Wu, Zhongyi Huang, Shi Jin and Dongsheng Yin
    Gaussian beam methods for the Dirac equation in the semi-classical regime
    Preprint - 2012

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  • Shi Jin, Dongming Wei and Dongsheng Yin
    Gaussian beam methods for the Schrodinger equation with discontinuous potentials
    Preprint - 2012

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  • Shi Jin and Qin Li
    A BGK-penalization asymptotic-preserving scheme for the multispecies Boltzmann equation
    Preprint - 2011

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  • Bokai Yan and Shi Jin
    A successive penalty-based asymptotic-preserving scheme for kinetic equations
    Preprint - 2011

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  • Christiane Helzel, Felix Otto and Athanasios Tzavaras
    A kinetic model for the sedimentation of rod-like particles
    Preprint - 2011

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  • Shi Jin and Li Wang
    An asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system in the high field regime
    Submitted - 2011

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  • Hailiang Liu and Jaemin Shin
    Global well-posedness for the microscopic FENE model with a sharp boundary condition
    Journal of Diff. Equations (2011).

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  • Hailiang Liu and Jaemin Shin
    The Cauchy-Dirichlet problem for the FENE dumbbell model of polymeric fluids
    Submitted - SIMA 2011

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  • Hailiang Liu, Olof Runborg and Nicolay Tanushev
    Error estimates for Gaussian beam superpositions
    Math Comp. (2011).

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  • Hao Wu
    Domain and Subband decomposition approach for 2D simulation of quantum transport phenomena
    Preprint - 2011

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  • P. Degond, H. Liu, D. Savelief and M-H. Vignal
    Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit
    J Sci Comput (2011).

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  • Chanwoo Kim
    Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains
    Communications Math. Physics 368 (2011) 641-701.

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  • Chanwoo Kim
    Boltzmann Equation with a Large Potential in a Periodic Box
    Submitted - 2011

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  • Thierry Goudon, Shi Jin and Bokai Yan
    Simulation of Fluid-Particles Flows: Heavy Particles, Flowing Regime and Asymptotic-Preserving Schemes
    Submitted - 2011

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  • Sebastien Motsch and Eitan Tadmor
    A new model for self-organized dynamics and its flocking behavior
    Journal of Statistical Physics (2011).

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  • Alexey Miroshnikov and Athanasios Tzavaras
    A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians
    Communications Mathematical Sciences (2011).

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  • Shi Jin
    Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review
    Lecture Notes for Summer School on ''Methods and Models of Kinetic Theory (2011).

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  • Thodoros Katsaounis and Athanasios Tzavaras
    Localization and shear bands in high strain-rate plasticity
    In Nonlinear Conservation Laws and Applications 153 (2011) 365-378.

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  • Shi Jin, Jian-guo Liu and Li Wang
    A Domain Decomposition Method for Semilinear Hyperbolic Systems with Two-scale Relaxations
    Submitted - 2011

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  • Shi Jin and Peng Qi
    A Hybrid Schrodinger/Gaussian Beam Solver for Quantum Barriers and Surface Hopping
    Submitted - 2011

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  • Shi Jin and Dongming Wei
    A novel numerical method for the semiclassical limit of the Schrodinger equation and the Vlasov-Poission equations
    Submitted - 2011

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  • Jingwei Hu, Shi Jin and Bokai Yan
    A numerical scheme for the quantum Fokker-Planck-Landau equation efficient in the fluid regime
    Submitted - 2011

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  • Hailiang Liu and Hui Yu
    An entropy satisfying finite volume method for the Fokker-Planck equatoin of FENE dumbbell model
    Submitted - SINUM 2011

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  • Thierry Goudon, Shi Jin, Jian-Guo Liu and Bokai Yan
    Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows
    Submitted - 2011

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  • Alexey Miroshnikov and Athanasios Tzavaras
    Convergence of variational approximation schemes for three dimensional elastodynamics with polyconvex energy
    Submitted - J. Differential Equations 2011

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  • Darryl D Holm and Cesare Tronci
    Euler-Poincare formulation of hybrid plasma models
    Submitted - Communications in Mathematical Sciences 2011

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  • Shi Jin, Peter Markowich and Christof Sparber
    Mathematical and computational methods for semiclassical Schrodinger equations
    Submitted - Acta Numerica 2011

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  • Yan Guo
    The Vlasov-Poisson-Landau System in a Periodic Box
    Preprint - 2011

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  • Shi Jin and Bokai Yan
    A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation
    Preprint - 2010

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  • S. Gottlich, M. Herty, C. Ringhofer and U. Ziegler
    Production Systems with Limited Repair Capacity
    Submitted - Optimization 2010

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  • Hailiang Liu, Olof Runborg and Nicolay M. Tanushev
    Error estaimtes for Gaussian beam superpositions
    Submitted - Math Comp. 2010

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  • Cesare Tronci
    Hamiltonian approach to hybrid plasma models
    Journal of Physics A: Mathematical and Theoretical 43 (2010) 375501.

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  • Clemens Heitzinger and Christian Ringhofer
    A transport equation for confined structures derived from the Boltzmann equation
    Submitted - Communications in Mathematical Sciences 2010

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  • Cory Hauck
    High-order entropy-based closures for linear transport in slab geometry
    Submitted - 2010

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  • Clemens Heitzinger and Christian Ringhofer
    Multiscale modeling of fluctuations in stochastic elliptic PDE models of nanosensors
    Submitted - SIAM J. Appl. Math. 2010

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  • Jingwei Hu and Shi Jin
    On Kinetic Flux Vector Splitting Schemes for Quantum Euler Equations
    Submitted - 2010

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  • Naoufel Ben Abdallah and Hao Wu
    A generalized stationary algorithm for resonant tunneling: multi-mode approximation and high dimension
    Preprint - 2010

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  • Dongming Wei, Shi Jin, Richard Tsai and Xu Yang
    A level set method for the semiclassical limit of the Schrodinger equation with discontinuous potentials
    Preprint - 2010

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  • Francis Filbet, Jingwei Hu and Shi Jin
    A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime
    Preprint - 2010

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  • Jeffrey Haack, Shi Jin and Jian-Guo Liu
    An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations
    Preprint - 2010

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  • Francis Filbet and Shi Jin
    An asmptotic preserving scheme for the ES-BGK model of the Boltzmann equation
    Preprint - 2010

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  • Shi Jin and Dongsheng Yin
    Computational High Frequency Wave Diffraction by a Corner via the Liouville equation and Geometric Theory of Diffraction
    Preprint - 2010

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  • Yan Guo and Benoit Pausader
    Global smooth Ion dynamics in the Euler-Poisson system
    Preprint - 2010

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  • Hao Wu
    High order scheme for Schrodinger equation with discontinuous potential I: immersed interfaced method
    Preprint - 2010

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  • Bin Cheng
    Low-Mach-number Euler equations with solid-wall boundary condition and general initial data
    Preprint - 2010

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  • Yan Guo and Robert Strain
    Momentum Regularity And Stability Of The Relativistic Vlasov-Maxwell-Boltzmann System
    Preprint - 2010

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  • Ning Jiang and C. David Levermore
    Global existence and regularity of the weakly compressible Navier-Stokes system
    Submitted - Asymptotic Analysis 2009

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  • Ryan G. McClarren and Cory D. Hauck
    Robust and Accurate Filtered Spherical Harmonics Expansions for Radiative Transfer
    Submitted - 2009

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  • A. Soffer and C. Stucchio
    Multiscale Resolution of Shortwave-Longwave Interaction
    Comm. Pure Applied Math. 62(1) (2009) 82-124.

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  • Juhi Jang and Ning Jiang
    Acoustic limit of the Boltzmann equation: classical solutions
    Submitted - Discrete and Continuous Dynamical Systems - Series A 2009

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  • C. David Levermore and Weiran Sun
    Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels
    Submitted - 2009

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  • R. Alonso and I.M.Gamba
    Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with integrable angular cross section
    Submitted - 2009

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  • A. Unver and C. Ringhofer
    Estimation of Transport Coefficients in Re-entrant Factory Models
    Submitted - International Journal of Production Research 2009

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  • Ricardo J. Alonso
    Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data
    Submitted - Indiana Univ. Math. Journal 2009

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  • C. David Levermore, Weiran Sun and Konstantina Trivisa
    Local well-posedness of a ghost effect system
    Submitted - 2009

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  • Cory D. Hauck and Ryan G. McClarren
    Positive P_N closure
    Submitted - 2009

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  • Ning Jiang, C. David Levermore and Nader Masmoudi
    Remarks on the Acoustic Limit for the Boltzmann Equation
    Submitted - Communications in Partial Differential Equations 2009

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  • Kenneth H. Karlsen and Suleyman Ulusoy
    Stability of entropy solutions for Levy mixed hyperbolic-parabolic equations
    Submitted - Journal of Differential Equations 2009

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  • C. Ringhofer
    Sub-band diffusion models for quantum transport in a strong force regime
    Submitted - SIAM J. Appl. Math. 2009

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  • Ning Jiang and C. David Levermore
    Weakly Nonlinear-Dissipative Approximations of Hyperbolic-Parabolic Systems with Entropy
    Submitted - Archive of Rational Mechanics and Analysis 2009

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  • Francis Filbet and Shi Jin
    A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources
    Preprint - 2009

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  • Hao Wu and Xu Yang
    A Hybrid Phase-Flow Method for solving the Liouville Equation in Bounded Domain
    Preprint - 2009

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  • Shi Jin and Yingzhe Shi
    A micro-macro decomposition based asymptotic-preserving scheme for the multispecies Boltzmann equation.
    Preprint - 2009

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  • Shi Jin, Hao Wu and Xu Yang
    A numerical study of the Gaussian beam methods for one-dimensional Schrodinger-Poisson equations
    Preprint - 2009

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  • R. Belaouar, N. Crouseilles, P. Degond and E. Sonnendrucker
    An asymptotically stable semi-lagrangian scheme in the quasi-neutral limit
    Preprint - 2009

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  • Shi Jin, Peng Qi and Zhiwen Zhang
    An Eulerian surface hopping method for the Schrodinger equation with conical crossings
    Preprint - 2009

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  • Pierre Degond, Fabrice Deluzet, Laurent Navoret, An-Bang Sun and Marie- Hel`ene Vignal
    Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineu- trality
    Preprint - 2009

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  • R. Alonso, E. Carneiro and I.M.Gamba
    Convolution inequalities for the Boltzmann collision operator
    Preprint - 2009

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  • Pierre Degond and Hailiang Liu
    Kinetic models for polymers with inertial effects
    Preprint - 2009

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  • C. David Levermore and W. Sun
    Local well-posedness of a dispersive Navier-Stokes system
    Preprint - 2009

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  • Shi Jin, Hao Wu and Xu Yang
    Semi-Eulerian and High Order Gaussian Beam Methods for the Schrodinger Equation in the Semiclassical Regime
    Preprint - 2009

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  • Jeffrey R. Haack and Cory D. Hauck
    Oscillatory behavior of asymptotic-preserving splitting Methods for a linear model of diffusive
    Kinetic and Related Models 1 (2008) 573-590.

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  • Pierre Degond, Simone Goettlich, Axel Klar, M. Seaid and Andreas Unterreiter
    Derivation of a kinetic model from a stochastic particle system
    Kinetid and Related Models (2008).

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  • Shi Jin, Hao Wu and Zhongyi Huang
    A Hybrid Phase-Flow Method for Hamiltonian Systems with Discontinuous Hamiltonians
    SIAM Journal on Scientific Computing 2 (2008) 1303-1321.

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  • Shi Jin, Hao Wu and Xu Yang
    Gaussian Beam Methods for the Schrodinger Equation in the Semi-classical Regime: Lagrangian and Eulerian Formulations
    Submitted - 2008

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  • Seung-Yeal Ha and Eitan Tadmor
    From particle to kinetic and hydrodynamic descriptions of flocking
    Kinetic and Related Models 1(3) (2008) 415-435.

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  • Pierre Degond and Sebastien Motsch
    Continuum limit of self-driven particles with orientation interaction
    Mathematical Models and Methods in Applied Sciences 18 (2008) 1193-1215.

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  • Hantaek Bae
    Global well-posedness of dissipative quasi-geostrophic equations in the critical spaces
    Procedeedings of AMS 136(1) (2008) 257-261.

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  • Pierre Degond and Sebastien Motsch
    Large Scale Dynamics of the Persistent Turning Walker Model of Fish Behavior
    J Stat Phys 131 (2008) 989-1021.

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  • Suleyman Ulusoy
    On a New Family of Degenerate Parabolic Equations
    Applied Mathematics Research eXpress 2008 (2008).

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  • Hailiang Liu and Christof Sparber
    Rigorous derivation of the hydrodynamical equations for rotating superfluids
    Mathematical Models and Methods in Applied Sciences 18 (5) (2008) 689-706.

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  • Hailiang Liu and Zhongming Wang
    A Bloch Band Based Level Set Method for Computing the Semiclassical Limit of Schr
    Submitted - Journal of Computational Physics 2008

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  • C. Ringhofer
    A Level Set Approach to Modeling General Service Rules in Supply Chains
    Submitted - Communications in Mathematical Sciences 2008

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  • Pierre Degond, Fabrice Deluzet, Afeintou Sangam and Marie-Helene Vignal
    An Asymptotic Preserving Scheme for the Euler equations in a strong magnetic field
    Submitted - 2008

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  • Dionisios Margetis and Athanasios E. Tzavaras
    Kinetic hierarchies and macroscopic limits for crystalline steps in 1+1 dimensions
    Submitted - Multiscale Modeling Simulation 2008

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  • R. Alonso and I.M.Gamba
    Propagation of L1 and L Maxwellian weighted bounds for derivatives of solutions to homogeneous elastic Boltzmann equation
    Submitted - JMPA 2008

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  • Hantaek Bae
    Remark on the blow up conditions to the incompressible viscoelastic fluid system
    Submitted - Czechoslovak Mathematical Journal 2008

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  • Irene M. Gamba and Sri Harsha Tharkabhushanam
    Spectral - Lagrangian methods for Collisional Models of Non - Equilibrium Statistical States
    Submitted - 2008

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  • Irene M. Gamba, V. Panferov and C. Villani
    Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
    Submitted - Archive Rat. Mech. Anal. 2008

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  • Shi Jin and Kyle A. Novak
    A Coherent Semiclassical Transport Model for Pure-state Quantum Scattering
    Preprint - 2008

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  • Ali Unver, Christian Ringhofer and Dieter Armbruster
    A hyperbolic relaxation model for product flow in complex production networks
    Preprint - 2008

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  • Shi Jin, Hao Wu, Xu Yang and Zhongyi Huang
    Bloch Decomposition-Based Gaussian Beam Method for the Schrodinger equation with Periodic Potentials
    Preprint - 2008

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  • Michael La Marca, Dieter Armbruster, Michael Herty and Christian Ringhofer
    Control of continuum models of production systems
    Preprint - 2008

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  • Wilfrid Gangbo, Hwa Kil Kim and Tommaso Pacini
    Differential Forms on Wasserstein Space and Infinite-dimensional Hamiltonian Systems
    Preprint - 2008

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  • Yu-Lin Lin
    Existence and uniqueness of the Hele-Shaw problem with injection
    Preprint - 2008

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  • Florent Berthelin, Athanasios Tzavara and Alexis Vasseur
    From discrete velocity Boltzmann equations to gas dynamics before shocks
    Preprint - 2008

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  • Hantaek Bae
    Global Well-posedness of the Free Boundary Value Problem of the Incompressible Navier-Stokes Equations With Surface Tension
    Preprint - 2008

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  • Yu-Lin Lin
    Large-time rescaling behaviors for large data to the Hele-Shaw problem
    Preprint - 2008

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  • Yu-Lin Lin
    Large-time rescaling behaviors of some rational type solutions to the Polubarinova-Galin equation with injection
    Preprint - 2008

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  • S. Goettlich, M. Herty and C. Ringhofer
    Optimization of order policies in supply networks
    Preprint - 2008

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  • Eric A. Carlen and Suleyman Ulusoy
    Asymptotic equipartition and long time behavior of solutions of a thin-film equation
    Journal of Differential Equations 241 (2007) 279-292.

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  • A. Soffer and C. Stucchio
    Open boundaries for the nonlinear Schroedinger Equation
    J. Comp. Phys. 225(2) (2007) 1218-1232.

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  • G. Dekel, V. Fleurov, A. Soffer and C. Stucchio
    Temporal dynamics of tunneling. Hydrodynamic approach
    Physical Rev. A 75 (2007).

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  • Suleyman Ulusoy
    A new family of higher order nonlinear degenerate parabolic equations
    Nonlinearity 20 (2007) 685-712.

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  • Eric A. Carlen and Suleyman Ulusoy
    An entropy dissipation - entropy estimate for a thin film type equation
    Communications in Mathematical Sciences 3 (2005) 171-178.

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