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< /a> 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
