Javier Morales, Jan Peszek and Eitan Tadmor Flocking with shortrange interactions Preprint  2018
 

Zhenning Cai, Jianfeng Lu and Siyao Yang Inchworm Monte Carlo method for open quantum systems Preprint  2018
 

Di Fang and Lei Li Numerical study of ergodicity for the overdamped Generalized Langevin Equation with fractional noise Preprint  2018
 

Daniel B. Cooney The Replicator Dynamics for Multilevel Selection in Evolutionary Games Preprint  2018
 

Di Fang, SeungYeal Ha and Shi Jin Emergent behaviors of the CuckerSmale emsemble under attractiverepulsive couplings and Rayleigh frictions Preprint  2018
 

R. Shvydkoy and E. Tadmor Topological models for emergent dynamics with shortrange interactions Preprint  2018
 

SeungYeal 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
 

Jose A. Morales Escalante and Irene M. Gamba Galerkin Methods for BoltzmannPoisson transport with reflection conditions on rough boundaries Journal of Computational Physics 363C (2018) 302328.
 

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

Endre Süli and Ghozlane Yahiaoui McKeanVlasov diffusion and the wellposedness of the Hookean beadspringchain model for dilute polymeric fluids: smallmass limit and equilibration in momentum space Preprint  2018
 

Didier Bresch and PierreEmmanuel Jabin Quantitative estimates for advective equations with degenerate anelastic constraint Submitted  Proceedings of the 2018 ICM 2018
 

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

SeungYeal Ha, Shi Jin and Jinwook Jung A local sensitivity analysis for the kinetic CuckerSmale equation with random inputs, Preprint  2018
 

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

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

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

Didier Bresch and PierreEmmanuel Jabin Quantitative regularity estimates for compressible transport equations. Preprint  2018
 

SeungYeal Ha and Shi Jin Local sensitivity analysis for the CuckerSmale model with random inputs Preprint  2017
 

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) 201215.
 

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

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

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

Siming He and Eitan Tadmor Suppressing chemotactic blowup through a fast splitting scenario on the plane Preprint  2017
 

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
 

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

Ruiwen Shu and Shi Jin Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kineticfluid twophase flow model with random initial inputs in the light particle regime Preprint  2017
 

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

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

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
 

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

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

Shi Jin and Yuhua Zhu Hypocoercivity and uniform regularity for the VlasovPoissonFokkerPlanck system with uncertainty and multiple scales Preprint  2017
 

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

Di Fang, Shi Jin and Christof Sparber An efficient timesplitting method for the Ehrenfest dynamics Preprint  2017
 

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

P.E. Jabin and H. Liu On a nonlocal selectionmutation model with a gradient flow structure Preprint  2017
 

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

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

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

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

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
 

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

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

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

PierreEmmanuel Jabin and Zhenfu Wang Mean Field Limit for Stochastic Particle Systems Submitted  Active Particles: Theory, Models, Applications, BirkhauserSpringer (Boston), series Modelling and Simulation in Science Engineering and Technology. 2016
 

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
 

Yuhua Zhu and Shi Jin The VlasovPoissonFokkerPlanck system with uncertainty and a onedimensional asymptoticpreserving method Preprint  2016
 

Shi Jin, JianGuo 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 micromacro decomposition based asymptotic preserving met Preprint  2016
 

E. Tadmor Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws Discrete and Continuous Dynamical SystemsA 36(8) (2016) 47594598.
 

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

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

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

Qin Li, Jianfeng Lu and Weiran Sun Validity and Regularization of Classical HalfSpace Equations Preprint  2016
 

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

JianGuo Liu, Robert Pego and Dejan Slepčev Euler sprays and Wasserstein geometry of the space of shapes Preprint  2016
 

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

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

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).
 

Michael Herty and WenAn Yong Feedback boundary control of linear hyperbolic systems with relaxation Submitted  Automatica 2016
 

José A. Carrillo, YoungPil Choi, Claudia Totzeck and Oliver Tse An analytical framework for a consensusbased global optimization method Preprint  2016
 

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

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

PE Jabin and R. Schram SelectionMutation dynamics with spatial dependence Preprint  2016
 

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

Benedetto Piccoli, Francesco Rossi and Emmanuel Trélat Control to flocking of the kinetic CuckerSmale model SIAM Journal on Mathematical Analysis 47 (2015) 46854719.
 

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..
 

Alina Chertock, Shi Jin and Alexander Kurganov A wellbalanced operator splitting based stochastic Galerkin method for the onedimensional SaintVenant system with uncertainty Preprint  2015
 

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

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

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
 

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

Jose Carrillo, YoungPil 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) 185206.
 

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

Benedetto Piccoli, Nastassia Pouradier Duteil and Benjamin Scharf Optimal Control of a Collective Migration Model Mathematical Models and Methods in Applied Sciences 26 (2015) 207214.
 

Didier Bresch and PierreEmmanuel Jabin Global Existence of Weak Solutions for Compresssible NavierStokes Equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor Preprint  2015
 

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

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

Razvan C. Fetecau, Weiran Sun and Changhui Tan Firstorder aggregation models with alignment Preprint  2015
 

Ali Faraj and Shi Jin The LandauZener transition and the surface hopping method for the 2D Dirac equation for graphene Preprint  2015
 

Jianfeng Lu, JianGuo 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.
 

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

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

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

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

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

Jingrun Chen, Carlos J. GarciaCervera and Xu Yang Meanfield dynamics of the spinmagnetization coupling in ferromagnetic materials: Application to currentdriven domain wall motions IEEE Transcations on Magnetics (2015).
 

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

Jingrun Chen, Carlos J. GarciaCervera and Xu Yang A meanfield model for spin dynamics in multilayered ferromagnetic media Submitted  2015
 

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

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

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

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

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

Y. Cheng, I.M. Gamba, F. Li and P. Morrison Discontinuous Galerkin Methods for VlasovMaxwell Equations, Preprint  2015
 

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
 

I.M.Gamba and MJ. Kang Global weak solutions for KolmogorovVicsek type equations with orientational interactions Preprint  2015
 

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

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

Sebastien Motsch and Eitan Tadmor Heterophilious dynamics enhances consensus SIAM Review 56(4) (2014) 577621.
 

Massimo Fornasier, Benedetto Piccoli, Nastassia Pouradier Duteil and Francesco Rossi Meanfield 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..
 

Antoine Mellet and Sara MerinoAceituno Anomalous energy transport in FPUβ chain Preprint  2014
 

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

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

Jingwei Hu, Shi Jin, and Li Wang An asymptoticpreserving scheme for the semiconductor Boltzmann equation with twoscale collisions: a splitting approach, Preprint  2014
 

PierreEmmanuel Jabin and Sebastien Motsch Clustering and asymptotic behavior in opinion formation Journal of Differential Equations (2014).
 

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

Shi Jin, Christof Sparber and Zhennan Zhou On the classical limit of a timedependent selfconsistent field system: analysis and computation Preprint  2014
 

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

Jingwei Hu and Li Wang An AsymptoticPreserving Scheme for the Semiconductor Boltzmann Equation toward the EnergyTransport Limit Submitted  2014
 

W. Ren, H. Liu and S. Jin An AsymptoticPreserving Monte Carlo Method for the Boltzmann Equation J. Comp. Phys. 276 (2014) 380404.
 

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

Frederic Coquel, Shi Jin, JianGuo Liu and Li Wang Wellposedness and singular limit of a semilinear hyperbolic relaxation system with a twoscale discontinuous relaxation rate Submitted  2014
 

T. Goudon, S. Jin, JianGuo Liu, and Bokai Yan AsymptoticPreserving schemes for kineticfluid modeling of disperse twophase flows with variable fluid density International Journal for Numerical Methods in Fluids 75 (2014) 81102.
 

N. Bellomo and F. Brezzi Complex systems: New challenges with modeling headaches Mathematical Models and Methods in Applied Sciences 24 (2014) 213219.
 

Cesare Tronci, Emanuele Tassi, Enrico Camporeale and Philip J. Morrison Hybrid VlasovMHD models: Hamiltonian vs. nonHamiltonian Plasma Phys. Control. Fusion 56 (2014) 095008.
 

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

P. Degond, A. Frouvelle, J.G. Liu Phase transitions, hysteresis, and hyperbolicity for selforganized alignment dynamics Preprint  2014
 

Benoit Perthame and Delphine Salort On a voltageconductance kinetic system for integrate&fire neural networks Kinetic and Related Models 6 (2013) 841864.
 

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

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
 

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

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

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) 459479.
 

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).
 

Nicola Bellomo, Abdelghani Bellouquid, Juanjo Nieto and Juan Soler Modeling chemotaxis from L2closure moments in kinetic theory of active particles Discrete and Continuous Dynamical Systems Series B 18 (2013) 847863.
 

Alessandro Munafo, Jeffrey Haack, Irene M. Gamba and Thierry Magin A SpectralLagrangian Boltzmann Solver for a MultiEnergy Level Gas Preprint  2013
 

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

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

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

Nicolas Champagnat and PierreEmmanuel Jabin Strong solutions to stochastic differential equations with rough coefficients Preprint  2013
 

Xiuqing Chen and JianGuo LIu Global weak entropy solution to DoiSaintillanShelley model for active and passive rodlike and ellipsoidal particle suspensions J. Diff. Eqs. (2013).
 

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

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

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

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

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

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

Shi Jin and Li Wang Asymptoticpreserving numerical schemes for the semiconductor Boltzmann equation efficient in the high field regime Preprint  2012
 

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

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

Jingwei Hu and Lexing Ying A fast spectral algorithm for the quantum Boltzmann collision operator Commun. Math. Sci. 10 (2012) 989999.
 

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

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

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

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

Shi Jin and Qin Li A BGKpenalization asymptoticpreserving scheme for the multispecies Boltzmann equation Preprint  2011
 

Bokai Yan and Shi Jin A successive penaltybased asymptoticpreserving scheme for kinetic equations Preprint  2011
 

Christiane Helzel, Felix Otto and Athanasios Tzavaras A kinetic model for the sedimentation of rodlike particles Preprint  2011
 

Shi Jin and Li Wang An asymptotic preserving scheme for the VlasovPoissonFokkerPlanck system in the high field regime Submitted  2011
 

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

Hailiang Liu and Jaemin Shin The CauchyDirichlet problem for the FENE dumbbell model of polymeric fluids Submitted  SIMA 2011
 

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

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

P. Degond, H. Liu, D. Savelief and MH. Vignal Numerical approximation of the EulerPoissonBoltzmann model in the quasineutral limit J Sci Comput (2011).
 

Chanwoo Kim Formation and Propagation of Discontinuity for Boltzmann Equation in NonConvex Domains Communications Math. Physics 368 (2011) 641701.
 

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

Thierry Goudon, Shi Jin and Bokai Yan Simulation of FluidParticles Flows: Heavy Particles, Flowing Regime and AsymptoticPreserving Schemes Submitted  2011
 

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

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

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).
 

Thodoros Katsaounis and Athanasios Tzavaras Localization and shear bands in high strainrate plasticity In Nonlinear Conservation Laws and Applications 153 (2011) 365378.
 

Shi Jin, Jianguo Liu and Li Wang A Domain Decomposition Method for Semilinear Hyperbolic Systems with Twoscale Relaxations Submitted  2011
 

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

Shi Jin and Dongming Wei A novel numerical method for the semiclassical limit of the Schrodinger equation and the VlasovPoission equations Submitted  2011
 

Jingwei Hu, Shi Jin and Bokai Yan A numerical scheme for the quantum FokkerPlanckLandau equation efficient in the fluid regime Submitted  2011
 

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

Thierry Goudon, Shi Jin, JianGuo Liu and Bokai Yan AsymptoticPreserving schemes for kineticfluid modeling of disperse twophase flows Submitted  2011
 

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

Darryl D Holm and Cesare Tronci EulerPoincare formulation of hybrid plasma models Submitted  Communications in Mathematical Sciences 2011
 

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

Yan Guo The VlasovPoissonLandau System in a Periodic Box Preprint  2011
 

Shi Jin and Bokai Yan A class of asymptoticpreserving schemes for the FokkerPlanckLandau equation Preprint  2010
 

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

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

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

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

Cory Hauck Highorder entropybased closures for linear transport in slab geometry Submitted  2010
 

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

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

Naoufel Ben Abdallah and Hao Wu A generalized stationary algorithm for resonant tunneling: multimode approximation and high dimension Preprint  2010
 

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
 

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

Jeffrey Haack, Shi Jin and JianGuo Liu An allspeed asymptoticpreserving method for the isentropic Euler and NavierStokes equations Preprint  2010
 

Francis Filbet and Shi Jin An asmptotic preserving scheme for the ESBGK model of the Boltzmann equation Preprint  2010
 

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

Yan Guo and Benoit Pausader Global smooth Ion dynamics in the EulerPoisson system Preprint  2010
 

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

Bin Cheng LowMachnumber Euler equations with solidwall boundary condition and general initial data Preprint  2010
 

Yan Guo and Robert Strain Momentum Regularity And Stability Of The Relativistic VlasovMaxwellBoltzmann System Preprint  2010
 

Ning Jiang and C. David Levermore Global existence and regularity of the weakly compressible NavierStokes system Submitted  Asymptotic Analysis 2009
 

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

A. Soffer and C. Stucchio Multiscale Resolution of ShortwaveLongwave Interaction Comm. Pure Applied Math. 62(1) (2009) 82124.
 

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

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

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
 

A. Unver and C. Ringhofer Estimation of Transport Coefficients in Reentrant Factory Models Submitted  International Journal of Production Research 2009
 

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

C. David Levermore, Weiran Sun and Konstantina Trivisa Local wellposedness of a ghost effect system Submitted  2009
 

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

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

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

C. Ringhofer Subband diffusion models for quantum transport in a strong force regime Submitted  SIAM J. Appl. Math. 2009
 

Ning Jiang and C. David Levermore Weakly NonlinearDissipative Approximations of HyperbolicParabolic Systems with Entropy Submitted  Archive of Rational Mechanics and Analysis 2009
 

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

Hao Wu and Xu Yang A Hybrid PhaseFlow Method for solving the Liouville Equation in Bounded Domain Preprint  2009
 

Shi Jin and Yingzhe Shi A micromacro decomposition based asymptoticpreserving scheme for the multispecies Boltzmann equation. Preprint  2009
 

Shi Jin, Hao Wu and Xu Yang A numerical study of the Gaussian beam methods for onedimensional SchrodingerPoisson equations Preprint  2009
 

R. Belaouar, N. Crouseilles, P. Degond and E. Sonnendrucker An asymptotically stable semilagrangian scheme in the quasineutral limit Preprint  2009
 

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

Pierre Degond, Fabrice Deluzet, Laurent Navoret, AnBang Sun and Marie Hel`ene Vignal AsymptoticPreserving ParticleInCell method for the VlasovPoisson system near quasineu trality Preprint  2009
 

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

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

C. David Levermore and W. Sun Local wellposedness of a dispersive NavierStokes system Preprint  2009
 

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

Jeffrey R. Haack and Cory D. Hauck Oscillatory behavior of asymptoticpreserving splitting Methods for a linear model of diffusive Kinetic and Related Models 1 (2008) 573590.
 

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).
 

Shi Jin, Hao Wu and Zhongyi Huang A Hybrid PhaseFlow Method for Hamiltonian Systems with Discontinuous Hamiltonians SIAM Journal on Scientific Computing 2 (2008) 13031321.
 

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

SeungYeal Ha and Eitan Tadmor From particle to kinetic and hydrodynamic descriptions of flocking Kinetic and Related Models 1(3) (2008) 415435.
 

Pierre Degond and Sebastien Motsch Continuum limit of selfdriven particles with orientation interaction Mathematical Models and Methods in Applied Sciences 18 (2008) 11931215.
 

Hantaek Bae Global wellposedness of dissipative quasigeostrophic equations in the critical spaces Procedeedings of AMS 136(1) (2008) 257261.
 

Pierre Degond and Sebastien Motsch Large Scale Dynamics of the Persistent Turning Walker Model of Fish Behavior J Stat Phys 131 (2008) 9891021.
 

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

Hailiang Liu and Christof Sparber Rigorous derivation of the hydrodynamical equations for rotating superfluids Mathematical Models and Methods in Applied Sciences 18 (5) (2008) 689706.
 

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
 

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

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

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

R. Alonso and I.M.Gamba Propagation of L^{1} and L^{∞} Maxwellian weighted bounds for derivatives of solutions to homogeneous elastic Boltzmann equation Submitted  JMPA 2008
 

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

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

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

Shi Jin and Kyle A. Novak A Coherent Semiclassical Transport Model for Purestate Quantum Scattering Preprint  2008
 

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

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

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

Wilfrid Gangbo, Hwa Kil Kim and Tommaso Pacini Differential Forms on Wasserstein Space and Infinitedimensional Hamiltonian Systems Preprint  2008
 

YuLin Lin Existence and uniqueness of the HeleShaw problem with injection Preprint  2008
 

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

Hantaek Bae Global Wellposedness of the Free Boundary Value Problem of the Incompressible NavierStokes Equations With Surface Tension Preprint  2008
 

YuLin Lin Largetime rescaling behaviors for large data to the HeleShaw problem Preprint  2008
 

YuLin Lin Largetime rescaling behaviors of some rational type solutions to the PolubarinovaGalin equation with injection Preprint  2008
 

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

Eric A. Carlen and Suleyman Ulusoy Asymptotic equipartition and long time behavior of solutions of a thinfilm equation Journal of Differential Equations 241 (2007) 279292.
 

A. Soffer and C. Stucchio Open boundaries for the nonlinear Schroedinger Equation J. Comp. Phys. 225(2) (2007) 12181232.
 

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

Suleyman Ulusoy A new family of higher order nonlinear degenerate parabolic equations Nonlinearity 20 (2007) 685712.
 

Eric A. Carlen and Suleyman Ulusoy An entropy dissipation  entropy estimate for a thin film type equation Communications in Mathematical Sciences 3 (2005) 171178.
 