2020

Antonio Esposito, Francesco S. Patacchini, Andre Schlichting and Dejan Slepcev Nonlocalinteraction equation on graphs: gradient flow structure and continuum limit Preprint, 2020

SeungYeal Ha, Shi Jin and Doheon Kim Convergence and error estimates for the timediscrete consensusbased optimization algorithms Submitted, 2020

R. Shyvdkoy and E. Tadmor Multiflocks: emergent dynamics in systems with multiscale collective behavior Preprint, 2020

Francois Golse, Shi Jin, Thierry Paul The random batch method for Nbody quantum dynamics Preprint, 2020

2019

Daniel B. Cooney Analysis of multilevel replicator dynamics for general twostrategy social dilemmas Preprint, 2019

Richard C. Barnard, Kai Huang and Cory D. Hauck A mathematical model of asynchronous data flow in parallel computers Preprint, 2019

SeungYeal Ha, Shi Jin and Doheon Kim Convergence of a firstorder consensusbased global optimization algorithm Preprint, 2019

J. Carrillo, Shi Jin, Lei Li and Yuhua Zhu A consensusbased global optimization method for high dimensional machine learning problems Preprint, 2019

Siming He and Eitan Tadmor Multispecies PatlakKellerSegel system Submitted to ArXiv:1903.02673, 2019

Siming He and Eitan Tadmor A game of alignment: collective behavior of multispecies Submitted to ArXiv:1908.11019, 2019

Shi Jin and Ruiwen Shu Collective dynamics of opposing groups with stochastic communication Preprint, 2019

Wuchen Li, Jianfeng Lu and Li Wang Fisher information regularization schemes for Wasserstein gradient flows Preprint, 2019

Ruiwen Shu and Eitan Tadmor Anticipation breeds alignment Preprint, 2019

Javier Morales, Jan Peszek and Eitan Tadmor Flocking with shortrange interactions Journal of Statistical Physics, 2019

Ruiwen Shu and Eitan Tadmor Flocking hydrodynamics with external potentials Preprint, 2019

Benoit Perthame, Nicolas Vauchelet and ZhianAn Wang Flux limited KellerSegel system and kinetic equations Preprint, 2019

Shi Jin, Lei Li and JianGuo Liu Random Batch Methods (RBM) for interacting particle systems Preprint, 2019

Benoit Perthame, Weiran Sun and Min Tang The fractional diffusion limit of a kinetic model with biochemical pathway Preprint, 2019

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

J. A. Carrillo, K. Craig and F. S. Patacchini A blob method for diffusion 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 pp 302328

Endre SÃ¼li 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

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 estimates for advective equations with degenerate anelastic constraint Submitted to Proceedings of the 2018 ICM, 2018

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

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

2017

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 pp 201215

R. Shvydkoy and E. Tadmor Eulerian dynamics with a commutator forcing III: Fractional diffusion of order 0<Î±<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 A2317â€“A2344

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

JianGuo 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 twodimensional flocking hydrodynamics Submitted to https://arxiv.org/abs/1702.07535, 2017

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

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 selectionmutation 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

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

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

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

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

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 SlepÄev Euler sprays and Wasserstein geometry of the space of shapes Preprint, 2016

Lior M. Burko, Gaurav Khanna and AnÄ±l Zenginoglu Cauchyhorizon singularity inside perturbed Kerr black holes Phys. Rev. D Rapid Communications, 93, 2016 pp 041501

Benedetto Piccoli, Francesco Rossi and Emmanuel TrÃ©lat Sparse control of secondorder cooperative systems and partial differential equations to approximate alignment in "Mathematical Theory of networks and systems", Univerity of Minesota 2016


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

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

D. Bresch and PE 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 CuckerSmale type Preprint, 2016

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

2015

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

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 TrÃ©lat Control to flocking of the kinetic CuckerSmale model SIAM Journal on Mathematical Analysis, 47, 2015 pp 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, 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 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 pp 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 pp 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

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

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

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

Li Wang and Bokai Yan An asymptoticpreserving 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, 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 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 Meanfield 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. GarciaCervera and Xu Yang A meanfield model for spin dynamics in multilayered ferromagnetic media Submitted, 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

Shi Jin, Dongbin Xiu and Xueyu Zhu Asymptoticpreserving 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 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

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

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 Timeasymptotic 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 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, IEEE, Los Angeles, CA 2014 6957  6962


Antoine Mellet and Sara MerinoAceituno Anomalous energy transport in FPUÎ² 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 asymptoticpreserving scheme for the semiconductor Boltzmann equation with twoscale collisions: a splitting approach, Preprint, 2014

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

PierreEmmanuel 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 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 pp 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 pp 81102

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

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 VlasovMHD models: Hamiltonian vs. nonHamiltonian Plasma Phys. Control. Fusion, 56, 2014 pp 095008

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

2013

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

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 semiLagrangian time splitting method for the Schrodinger equation with vector potentials Communications in Information and Systems, 13, 2013 pp 247

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 pp 459479

Alessandro Munafo, Jeffrey Haack, Irene M. Gamba and Thierry Magin A SpectralLagrangian Boltzmann Solver for a MultiEnergy 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 L2closure moments in kinetic theory of active particles Discrete and Continuous Dynamical Systems Series B, 18, 2013 pp 847863

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 â€“ 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

P. Degond, J.G. Liu, C. Ringhofer A Nash equilibrium macroscopic closure for kinetic models coupled with MeanField Games 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. TrÃ©lat Sparse stabilization and control of the CuckerSmale model Submitted to SIAM Review, 2013

M. Bongini, M. Fornasier, F. FrÃ¶hlich, 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 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 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 989999

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

2011

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 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 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 pp 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

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

Sebastien Motsch and Eitan Tadmor A new model for selforganized 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 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

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 FokkerPlanck 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, 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 to J. Differential Equations, 2011

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

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

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

Yan Guo The VlasovPoissonLandau System in a Periodic Box Preprint, 2011

2010

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 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: 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

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 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

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

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 NavierStokes 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 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 SchrÄodingerPoisson 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. Sonnendr¨ucker 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 H´el`ene Vignal AsymptoticPreserving ParticleInCell method for the VlasovPoisson 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 Reentrant 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 nearvacuum 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 wellposedness of a dispersive NavierStokes system Preprint, 2009

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

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

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 SemiEulerian and High Order Gaussian Beam Methods for the Schr¨odinger Equation in the Semiclassical Regime Preprint, 2009

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

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

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

2008

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 pp 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 pp 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 pp 415435

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 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

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 MarieHelene 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 DecompositionBased Gaussian Beam Method for the SchrÄodinger equation with Periodic Potentials Preprint, 2008

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

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 dissipative quasigeostrophic equations in the critical spaces Procedeedings of AMS, 136(1), 2008 pp 257261

Hantaek Bae Global Wellposedness of the Free Boundary Value Problem of the Incompressible NavierStokes 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 9891021

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

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 L^{1} 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 689706

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 thinfilm equation Journal of Differential Equations, 241, 2007 pp 279292

A. Soffer and C. Stucchio Open boundaries for the nonlinear Schroedinger Equation J. Comp. Phys., 225(2), 2007 pp 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 pp 685712

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 171178
