雍稳安

2026

Dissipativeness of the Hyperbolic Quadrature Method of Moments for Kinetic Equations

Journal of Statistical Physics

DOI

2026

Construction of Boundary Conditions for Hyperbolic Relaxation Approximations III: The Linearized Suliciu Model With Characteristic Boundaries

Multiscale Modeling and Simulation

DOI

2025

Uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for linear hyperbolic relaxation systems

Mathematics of Computation

DOI

2025

A hyperbolic relaxation approximation of the incompressible Navier-Stokes equations with artificial compressibility

Journal of Differential Equations

DOI

2025

Boundary Control of Multidimensional Discrete-Velocity Kinetic Models

IEEE Transactions on Automatic Control

DOI

2025

Poisson Quadrature Method of Moments for 2D Kinetic Equations with Velocity of Constant Magnitude

Multiscale Modeling and Simulation

DOI

2024

Stability Analysis of an Extended Quadrature Method of Moments for Kinetic Equations

SIAM Journal on Mathematical Analysis

DOI

2024

Feedback boundary control of multi-dimensional hyperbolic systems with relaxation

Automatica

DOI

2024

Discrete-Velocity-Direction Models of BGK-Type with Minimum Entropy: II—Weighted Models

Journal of Scientific Computing

DOI

2023

Vectorial finite-difference-based lattice Boltzmann method: Consistency, boundary schemes and stability analysis

Journal of Computational and Applied Mathematics

DOI

2023

Nonrelativistic limit of the Euler‐HMPN approximation models arising in radiation hydrodynamics

Mathematical Methods in the Applied Sciences

DOI

2023

Discrete-Velocity-Direction Models of BGK-type with Minimum Entropy: I. Basic Idea

Journal of Scientific Computing

DOI

2023

Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures

Multiscale Modeling and Simulation

DOI

2022

Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model

Quarterly of Applied Mathematics

DOI

2022

Equilibrium stability analysis of hyperbolic shallow water moment equations

Mathematical Methods in the Applied Sciences

DOI

2022

Learning stable seismic wave equations for porous media from real data

Geophysical Journal International

DOI

2021

Data-driven discovery of multiscale chemical reactions governed by the law of mass action

Journal of Computational Physics

DOI

2021

Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I

Journal of Differential Equations

DOI

2021

Finding models of heat conduction via machine learning

International Journal of Heat and Mass Transfer

DOI

2021

Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II

Journal of Differential Equations

DOI

2021

Recent Advances on Boundary Conditions for Equations in Nonequilibrium Thermodynamics

Symmetry

DOI

2021

Boundary conditions for kinetic theory‐based models II: A linearized moment system

Mathematical Methods in the Applied Sciences

DOI

2020

The lattice Boltzmann method for nearly incompressible flows

Journal of Computational Physics

DOI

2020

Numerical Analysis of the Lattice Boltzmann Method for the Boussinesq Equations

Journal of Scientific Computing

DOI

2020

Stable Finite-Difference Methods for Elastic Wave Modeling with Characteristic Boundary Conditions

Mathematics

DOI

2020

Construction of boundary conditions for hyperbolic relaxation approximations I: The linearized Suliciu model

Mathematical Models and Methods in Applied Sciences

DOI

2020

Boundary Scheme for a Discrete Kinetic Approximation of the Navier–Stokes Equations

Journal of Scientific Computing

DOI

2020

Weighted L 2 -stability of a discrete kinetic approximation for the incompressible Navier–Stokes equations on bounded domains

Journal of Computational and Applied Mathematics

DOI

2020

Approximation of the multi-dimensional incompressible Navier-Stokes equations by discrete-velocity vector-BGK models

Journal of Mathematical Analysis and Applications

DOI

2019

Relaxation-rate formula for the entropic lattice Boltzmann model

Chinese Physics B

2019

Boundary stabilization of hyperbolic balance laws with characteristic boundaries

Automatica

DOI

2018

Volume viscosity and internal energy relaxation: Error estimates

Nonlinear Analysis Real World Applications

DOI

2018

Relaxation Limit and Initial-Layers for a Class of Hyperbolic-Parabolic Systems

SIAM Journal on Mathematical Analysis

DOI

2017

Stability analysis of a class of globally hyperbolic moment system

Communications in Mathematical Sciences

DOI

2017

Global existence for viscoelastic fluids with infinite Weissenberg number

Communications in Mathematical Sciences

DOI

2017

On a two-relaxation-time D2Q9 lattice Boltzmann model for the Navier–Stokes equations

Physica A Statistical Mechanics and its Applications

DOI

2017

Maxwell iteration for the lattice Boltzmann method with diffusive scaling

Physical review. E

DOI

2017

Asymptotic stability and relaxation for fast chemistry fluids

Nonlinear Analysis

DOI

2016

Single-node second-order boundary schemes for the lattice Boltzmann method

Journal of Computational Physics

DOI

2016

Second-order curved boundary treatments of the lattice Boltzmann method for convection–diffusion equations

Journal of Computational Physics

DOI

2016

Novel dissipative properties of the master equation

Journal of Mathematical Physics

DOI

2016

Lattice Boltzmann method for convection-diffusion equations with general interfacial conditions

Physical review. E

DOI

2016

Structural stability of a 1D compressible viscoelastic fluid model

Journal of Differential Equations

DOI

2016

Theory of the Lattice Boltzmann method: Derivation of macroscopic equations via the Maxwell iteration

Physical review. E

DOI

2016

Feedback boundary control of linear hyperbolic systems with relaxation

Automatica

DOI

2016

Stability Analysis of the Biot/squirt and Double-porosity Models for Wave Propagation in Saturated Porous Media

EAGE Conference and Exhibition

DOI

2015

Conservation-dissipation formalism of irreversible thermodynamics

Journal of Non-Equilibrium Thermodynamics

DOI

2015

Zero Mach number limit of the compressible Navier–Stokes–Korteweg equations

Communications in Mathematical Sciences

DOI

2015

Boundary conditions of the lattice Boltzmann method for convection–diffusion equations

Journal of Computational Physics

DOI

2015

Generalization of the Kullback–Leibler divergence in the Tsallis statistics

Journal of Mathematical Analysis and Applications

DOI

2015

Stability analysis of the Biot/squirt models for wave propagation in saturated porous media: Table 1.

Geophysical Journal International

DOI

2015

Partial equilibrium approximations in apoptosis. II. The death-inducing signaling complex subsystem

Mathematical Biosciences

DOI

2015

The zero Mach number limit of the three-dimensional compressible viscous magnetohydrodynamic equations

Chinese Annals of Mathematics Series B

DOI

2015

A Kinetic Model for Cell Damage Caused by Oligomer Formation

Biophysical Journal

DOI

2015

A novel construction of thermodynamically compatible models and its correspondence with Boltzmann-equation-based moment-closure hierarchies

Journal of Non-Equilibrium Thermodynamics

DOI

2015

Validity of the Chapman–Enskog expansion for a class of hyperbolic relaxation systems

Journal of Differential Equations

DOI

2015

On Initial Conditions for the Lattice Boltzmann Method

Communications in Computational Physics

DOI

2014

格子Boltzmann方法解扩散方程的复杂边界条件研究

《应用数学和力学》

2014

Quasi-neutral limit in a 3D compressible Navier-Stokes-Poisson-Korteweg model

IMA Journal of Applied Mathematics

DOI

2014

Asymptotic Analysis of the Lattice Boltzmann Method for Generalized Newtonian Fluid Flows

Multiscale Modeling and Simulation

DOI

2013

CFL condition, Boltzmann's H‐theorem, Onsager reciprocal relations and beyond

Mathematical Methods in the Applied Sciences

DOI

2013

Simple Moment-Closure Model for the Self-Assembly of Breakable Amyloid Filaments

Biophysical Journal

DOI

2012

Accuracy of the viscous stress in the lattice Boltzmann equation with simple boundary conditions

Physical Review E

DOI

2012

Conservation-dissipation structure of chemical reaction systems

Physical Review E

DOI

2012

A stable simplification of a fas-signaling pathway model for apoptosis

IEEE International Conference on Systems Biology

DOI

2012

STABILITY OF STEADY SOLUTIONS TO REACTION-HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT

Journal of Hyperbolic Differential Equations

DOI

2011

Zero-electron-mass limit of hydrodynamic models for plasmas

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2011

A note on incompressible limit for compressible Euler equations

Mathematical Methods in the Applied Sciences

DOI

2009

Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors

Journal of Differential Equations

DOI

2009

Decay Estimates for Hyperbolic Balance Laws

Zeitschrift für Analysis und ihre Anwendungen

DOI

2009

An Onsager-like relation for the lattice Boltzmann method

Computers & Mathematics with Applications

DOI

2008

DISSIPATIVE ENTROPY AND GLOBAL SMOOTH SOLUTIONS IN RADIATION HYDRODYNAMICS AND MAGNETOHYDRODYNAMICS

Mathematical Models and Methods in Applied Sciences

DOI

2008

An interesting class of partial differential equations

Journal of Mathematical Physics

DOI

2006

The nonrelativistic limit in radiation hydrodynamics: I. Weak entropy solutions for a model problem

Journal of Differential Equations

DOI

2006

Quasi-neutral limit of the non-isentropic Euler–Poisson system

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2006

Existence of Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws

Archive for Rational Mechanics and Analysis

DOI

1991

EXPLICIT DISSIPATIVE SCHEMES FOR BOUNDARY PROBLEMS OF GENERALIZED SCHRDINGER SYSTEMS

Acta Mathematicae Applicatae Sinica

1990

CONVERGENCE OF DIFFERENCE METHODS FOR NONLINEAR PROBLEMS WITH MOVING BOUNDARIES

Science China Mathematics

1989

非线性可动边界问题的差分方法的收敛性

《中国科学:数学》

2016

NEWTONIAN LIMIT OF MAXWELL FLUID FLOWS

2014

Boltzmann-Equation Based Derivation of Balance Laws in Irreversible Thermodynamics

arXiv (Cornell University)

DOI

2012

Partial equilibrium approximations in Apoptosis

arXiv (Cornell University)

DOI

2008

Weak and Classical Solutions for a Model Problem in Radiation Hydrodynamics

Springer eBooks

DOI

2008

Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws

Springer eBooks

DOI