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KI-Net Publications

KI-Net Publications

A collection of selected references



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 pp 201-215


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


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


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


Siming He and Eitan Tadmor
Suppressing chemotactic blow-up 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 kinetic-fluid two-phase flow model with random initial inputs in the light particle regime
Preprint, 2017


Pierre-Emmanuel 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


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


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


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


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


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


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


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




2016


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


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


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


Dieter Armbruster, Sebastien Motsch, Andrea Thatcher
Swarming in bounded domains
Physica D, 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


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


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


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


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


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


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


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


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


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


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


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


Jian-Guo 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
Cauchy-horizon singularity inside perturbed Kerr black holes
Phys. Rev. D Rapid Communications, 93, 2016 pp 041501


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", Univerity of Minesota 2016


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


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


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


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


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




2015


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


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


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


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


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, IEEE, Osaka, Japan 2015 3181 - 3186


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 one-dimensional Euler equations with uncertainty
Preprint, 2015


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 pp 185-206


E. Tadmor
Mathematical aspects of self-organized 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 pp 207-214


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


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
First-order aggregation models with alignment
Preprint, 2015


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


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


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


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


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 pp 032403


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


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


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


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


Kerstin Kupper, Martin Frank and Shi Jin
An asymptotic-preserving 2-D 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


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


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


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


Y. Cheng, I.M. Gamba, F. Li and P. Morrison
Discontinuous Galerkin Methods for Vlasov-Maxwell 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 M-J. Kang
Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions
Preprint, 2015


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


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


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


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




2014


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


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, IEEE, Los Angeles, CA 2014 6957 - 6962


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


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


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


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


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


Pierre-Emmanuel Jabin and Sebastien Motsch
Clustering and asymptotic behavior in opinion formation
Journal of Differential Equations, 2014


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


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


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


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


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, 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


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 pp 81-102


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


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


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


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




2013


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


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


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 pp 247


Jerry L. Bona, Gustavo Ponce, Jean-Claude 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 pp 459-479


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


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 L2-closure moments in kinetic theory of active particles
Discrete and Continuous Dynamical Systems Series B, 18, 2013 pp 847-863


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 Camassa-Holm equation
Submitted, 2013


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


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


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


P. Degond, J.-G, Liu, S. Motsch, V. Panferov
Hydrodynamic models of self-organized 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 self-propelled particles
J Nonlinear Sci, 2013


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


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




2012


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


Shi Jin and Li Wang
Asymptotic-preserving 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 algorithm for the energy space boson Boltzmann collision operator
Submitted, 2012


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


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 semi-classical regime
Preprint, 2012


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




2011


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


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


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


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


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


Hailiang Liu and Jaemin Shin
The Cauchy-Dirichlet problem for the FENE dumbbell model of polymeric fluids
Submitted to 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 M-H. Vignal
Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit
J Sci Comput, 2011


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


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


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


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


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


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


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


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


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


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


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


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


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


Thodoros Katsaounis and Athanasios Tzavaras
Localization and shear bands in high strain-rate plasticity
In Nonlinear Conservation Laws and Applications, 153, 2011 pp 365-378


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


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




2010


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


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


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


Cesare Tronci
Hamiltonian approach to hybrid plasma models
Journal of Physics A: Mathematical and Theoretical, 43, 2010 pp 375501


Naoufel Ben Abdallah and Hao Wu
A generalized stationary algorithm for resonant tunneling: multi-mode 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


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


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


Francis Filbet and Shi Jin
An asmptotic preserving scheme for the ES-BGK 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 Euler-Poisson system
Preprint, 2010


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


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


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


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


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


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




2009


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


Ryan G. McClarren and Cory D. Hauck
Robust and Accurate Filtered Spherical Harmonics Expansions for Radiative Transfer
Submitted, 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 Phase-Flow Method for solving the Liouville Equation in Bounded Domain
Preprint, 2009


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


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


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


R. Belaouar, N. Crouseilles, P. Degond and E. Sonnendrucker
An asymptotically stable semi-lagrangian scheme in the quasi-neutral 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, An-Bang Sun and Marie- Hel`ene Vignal
Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineu- trality
Preprint, 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, E. Carneiro and I.M.Gamba
Convolution inequalities for the Boltzmann collision operator
Preprint, 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 Re-entrant Factory Models
Submitted to International Journal of Production Research, 2009


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


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


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


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


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


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 to Communications in Partial Differential Equations, 2009


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


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


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


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




2008


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 pp 573-590


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 Phase-Flow Method for Hamiltonian Systems with Discontinuous Hamiltonians
SIAM Journal on Scientific Computing, 2, 2008 pp 1303-1321


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


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


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


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


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


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


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


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


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


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 Infinite-dimensional Hamiltonian Systems
Preprint, 2008


Yu-Lin Lin
Existence and uniqueness of the Hele-Shaw 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 well-posedness of dissipative quasi-geostrophic equations in the critical spaces
Procedeedings of AMS, 136(1), 2008 pp 257-261


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


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


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


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


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


Suleyman Ulusoy
On a New Family of Degenerate Parabolic Equations
Applied Mathematics Research eXpress, 2008, 2008


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


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


Hantaek Bae
Remark on the blow up conditions to the incompressible viscoelastic fluid system
Submitted to Czechoslovak Mathematical Journal, 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 pp 689-706


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 to Archive Rat. Mech. Anal., 2008




2007


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 pp 279-292


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


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 pp 685-712




2005


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