2020
|
Antonio
Esposito, Francesco S. Patacchini, Andre Schlichting and Dejan Slepcev
Nonlocal-interaction equation on graphs: gradient flow
structure and continuum limit
Preprint, 2020
|
Seung-Yeal
Ha, Shi Jin and Doheon Kim
Convergence and error estimates for the time-discrete
consensus-based optimization algorithms
Submitted, 2020
|
R.
Shyvdkoy and E. Tadmor
Multi-flocks: emergent dynamics in systems with
multi-scale collective behavior
Preprint, 2020
|
Francois
Golse, Shi Jin, Thierry Paul
The random batch method for N-body quantum
dynamics
Preprint, 2020
|
2019
|
Daniel
B. Cooney
Analysis of multilevel replicator dynamics for general
two-strategy 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
|
Seung-Yeal
Ha, Shi Jin and Doheon Kim
Convergence of a first-order consensus-based global
optimization algorithm
Preprint, 2019
|
J.
Carrillo, Shi Jin, Lei Li and Yuhua Zhu
A consensus-based global optimization method for high
dimensional machine learning problems
Preprint, 2019
|
Siming
He and Eitan Tadmor
Multi-species Patlak-Keller-Segel
system
Submitted to ArXiv:1903.02673, 2019
|
Siming
He and Eitan Tadmor
A game of alignment: collective behavior of
multi-species
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 short-range interactions
Journal of Statistical Physics, 2019
|
Ruiwen
Shu and Eitan Tadmor
Flocking hydrodynamics with external
potentials
Preprint, 2019
|
Benoit
Perthame, Nicolas Vauchelet and Zhian-An Wang
Flux limited
Keller-Segel system and kinetic equations
Preprint, 2019
|
Shi
Jin, Lei Li and Jian-Guo 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, Seung-Yeal Ha and Shi Jin
Emergent behaviors of the Cucker-Smale emsemble under
attractive-repulsive couplings and Rayleigh frictions
Preprint,
2018
|
R.
Shvydkoy and E. Tadmor
Topological models for emergent dynamics with
short-range interactions
Preprint, 2018
|
Seung-Yeal
Ha, Shi Jin and Jinwook Jung
A local sensitivity analysis for the Kuramoto model
with with random inputs in a large coupling regime,
Preprint,
2018
|
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
Boltzmann-Poisson transport with reflection conditions on rough
boundaries
Journal of Computational Physics, 363C, 2018 pp
302-328
|
Endre
Süli and Ghozlane Yahiaoui
McKean-Vlasov diffusion and the well-posedness of the
Hookean bead-spring-chain model for dilute polymeric fluids: small-mass limit and
equilibration in momentum space
Preprint, 2018
|
Seung-Yeal
Ha, Shi Jin and Jinwook Jung
A local sensitivity analysis for the kinetic
Cucker-Smale 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 run-and-tumble 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 Pierre-Emmanuel Jabin
Quantitative estimates for advective equations with
degenerate anelastic constraint
Submitted to Proceedings of the
2018 ICM, 2018
|
Pierre-Emmanuel
Jabin and Zhenfu Wang
Quantitative estimates of propagation of chaos for
stochastic systems with W^{-1,∞} kernels
Submitted to
Inventiones Matematicae, 2018
|
Didier
Bresch and Pierre-Emmanuel Jabin
Quantitative regularity estimates for compressible
transport equations.
Preprint, 2018
|
2017
|
Seung-Yeal
Ha and Shi Jin
Local sensitivity analysis for the Cucker-Smale 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 201-215
|
R.
Shvydkoy and E. Tadmor
Eulerian dynamics with a commutator forcing III:
Fractional diffusion of order 0<α<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
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 SlepÄev
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
SchrÄodinger-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. Sonnendr¨ucker
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- H´el`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 Schr¨odinger 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 SchrÄodinger 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
|
