孙梅娜

2026

一个双曲平均场博弈模型中的狄拉克激波解及其碰撞问题

《鲁东大学学报(自然科学版)》

2026

The Pressureless Limits of Riemann Solutions for the Two-Lane Traffic Model

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2026

Asymptotic limits for the inhomogeneous mixed Aw-Rascle model with the power-like hesitation function

Chaos Solitons & Fractals

DOI

2026

The transition of Riemann solutions for a simplified liquid-gas two-phase modified Chaplygin flow model

Nonlinear Analysis: Real world applications

DOI

2025

Collision between Delta shock wave and contact discontinuity for a simplified three-phase Chaplygin flow model

Physics of Fluids

DOI

2025

Concentration and cavitation for the modified Chaplygin two-phase flow model at the vanishing pressure limit

Chaos, Solitons & Fractals

DOI

2024

The Vanishing Power-Like Coupling Term Limits of Riemann Solutions for the Mean-Field Games

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2024

Asymptotic behavior of Riemann solutions for the one-dimensional mean-field games in conservative form with the logarithmic coupling term

International Journal of Non-Linear Mechanics

DOI

2024

The vanishing pressure limits of Riemann solutions for the Aw-Rascle hydrodynamic traffic flow model with the logarithmic equation of state

Chaos Solitons & Fractals

DOI

2024

The limiting behavior of Riemann solutions to the hydrodynamic Aw-Rascle traffic model

Physics of Fluids

DOI

2023

Asymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow model

Computational and Applied Mathematics

DOI

2023

Asymptotic behavior of Riemann solutions for the inhomogeneous Aw-Rascle-Zhang traffic model with the logarithmic equation of state

Journal of Mathematical Analysis and Applications

DOI

2023

The vanishing pressure limits of Riemann solutions to the isothermal two-phase flow model under the external force

Zeitschrift für angewandte Mathematik und Physik

DOI

2023

The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law

Physica D Nonlinear Phenomena

DOI

2023

Formation of delta shock and vacuum state for the pressureless hydrodynamic model under the small disturbance of traffic pressure

Journal of Mathematical Physics

DOI

2022

Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity

Journal of Differential Equations

DOI

2022

Interactions of delta shock waves in a pressureless hydrodynamic model

Applicable Analysis

DOI

2022

The Riemann problem for a simplified two-phase flow model with the Chaplygin pressure law under the external force

International Journal of Non-Linear Mechanics

DOI

2022

Exact delta shock wave solution to the Riemann problem for the three-component chromatography model

Computational and Applied Mathematics

DOI

2022

Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying $$\gamma $$-law

Zeitschrift für angewandte Mathematik und Physik

DOI

2021

The intrinsic phenomena of cavitation and concentration in Riemann solutions for the isentropic two-phase model with the logarithmic equation of state

Journal of Mathematical Physics

DOI

2021

The intrinsic phenomena of concentration and cavitation on the Riemann solutions for the perturbed macroscopic production model

Mathematical Methods in the Applied Sciences

DOI

2021

The multiplication of distributions in the study of delta shock wave for a hyperbolic system of Temple class

International Journal of Mathematics

DOI

2021

Riemann Problem and Wave Interactions for a Temple-class Hyperbolic System of Conservation Laws

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2021

Global solution to the compressible non-isothermal nematic liquid crystal equations with constant heat conductivity and vacuum

Advances in Differential Equations

DOI

2020

对数形式压力下AR交通流模型的黎曼问题

《鲁东大学学报(自然科学版)》

2020

Concentration Phenomenon of Riemann Solutions for the Relativistic Euler Equations with the Extended Chaplygin Gas

Acta Applicandae Mathematicae

DOI

2019

Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state

Nonlinear Analysis Real World Applications

DOI

2019

The singular solutions to a nonsymmetric system of Keyfitz‐Kranzer type with initial data of Riemann type

Mathematical Methods in the Applied Sciences

DOI

2019

The singular limits of Riemann solutions to a chemotaxis model with flux perturbation

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

DOI

2019

The multiplication of distributions in the study of delta shock wave for the nonlinear chromatography system

Applied Mathematics Letters

DOI

2019

Solutions with concentration and cavitation to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas

Open Mathematics

DOI

2019

On the delta shockwave interactions for the isentropic Chaplygin gas system consisting of three scalar equations

Filomat

DOI

2018

A distributional product approach to the delta shock wave solution for the one-dimensional zero-pressure gas dynamics system

International Journal of Non-Linear Mechanics

DOI

2018

The limits of Riemann solutions to the simplified pressureless Euler system with flux approximation

Mathematical Methods in the Applied Sciences

DOI

2017

The asymptotic limits of solutions to the Riemann problem for the scaled Leroux system

Communications on Pure &amp Applied Analysis

DOI

2017

Singular solutions to the Riemann problem for a macroscopic production model

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

DOI

2016

Shadow wave solution for the generalized Langmuir isotherm in chromatography

Archiv der Mathematik

DOI

2016

The Shock Reflection Phenomenon for Scalar Conservation Law with Dirac Measure Source Term

Taiwanese Journal of Mathematics

DOI

2016

STRUCTURAL STABILITY OF SOLUTIONS TO THE RIEMANN PROBLEM FOR A NON-STRICTLY HYPERBOLIC SYSTEM WITH FLUX APPROXIMATION

2015

The exact Riemann solutions to the generalized Chaplygin gas equations with friction

Communications in Nonlinear Science and Numerical Simulation

DOI

2015

Perturbed Riemann problem for a scalar Chapman-Jouguet combustion model

Chinese Annals of Mathematics Series B

DOI

2014

Instability of Riemann solutions to a scalar conservation law with discontinuous flux

Zeitschrift für angewandte Mathematik und Physik

DOI

2013

Formation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous Coefficients

Journal of Nonlinear Mathematical Physics

DOI

2013

Interactions of delta shock waves for the chromatography equations

Applied Mathematics Letters

DOI

2013

CONSTRUCTION OF THE 2D RIEMANN SOLUTIONS FOR A NONSTRICTLY HYPERBOLIC CONSERVATION LAW

DOI

2012

Wave interactions and stability of the Riemann solutions for a scalar conservation law with a discontinuous flux function

Zeitschrift für angewandte Mathematik und Physik

DOI

2012

The perturbation on initial binding energy for a Majda-CJ combustion model

Applicable Analysis

DOI

2012

Non-selfsimilar solutions for a hyperbolic system of conservation laws in two space dimensions

Journal of Mathematical Analysis and Applications

DOI

2012

ENTROPY SOLUTIONS OF A CHAPMAN–JOUGUET COMBUSTION MODEL

Mathematical Models and Methods in Applied Sciences

DOI

2012

The Bifurcation Phenomenon for Scalar Conservation Laws with Discontinuous Flux Functions

Acta Applicandae Mathematicae

DOI

2011

A note on the interactions of elementary waves for the AR traffic flow model without vacuum

DOI

2011

Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws

Nonlinear Analysis

DOI

2011

Delta shock waves for the chromatography equations as self-similar viscosity limits

Quarterly of Applied Mathematics

DOI

2010

Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw–Rascle model

Journal of Differential Equations

DOI

2010

Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws

Nonlinear Analysis

DOI

2009

Limit relations for three simple hyperbolic systems of conservation laws

Mathematical Methods in the Applied Sciences

DOI

2009

Interactions of Elementary Waves for the Aw--Rascle Model

SIAM Journal on Applied Mathematics

DOI

2008

Hermite展开与弱函数乘法的性质(英文)

《数学理论与应用》

2008

On the Riemann problem for 2D compressible Euler equations in three pieces

Nonlinear Analysis

DOI

2008

Interactions of delta shock waves for the transport equations with split delta functions

Journal of Mathematical Analysis and Applications

DOI

2008

The Riemann problem for the pressure-gradient system in three pieces

Applied Mathematics Letters

DOI

2008

On the neutral Hermite product of the distributionsx±nand δ(m)(x)

Integral Transforms and Special Functions

DOI

2007

最简Chapman-Jouguet燃烧模型的两类典型初值问题

《上海大学》

2007

The generalized Riemann problem for a scalar Chapman–Jouguet combustion model

Zeitschrift für angewandte Mathematik und Physik

DOI

2007

The Generalized Riemann Problem for a Scalar Nonconvex Chapman--Jouguet Combustion Model

SIAM Journal on Applied Mathematics

DOI

2006

The ignition problem for a scalar nonconvex combustion model

DOI

2005

Initial and boundary value problems for two-dimensional non-hydrostatic boussinesq equations

DOI

2004

Novel multisoliton-like solutions of the differential-difference KdV equation

DOI

2004

The novel solutions of the toda lattice

DOI

2007

热源强迫的热带环流方程组的初值问题

《第二十届全国水动力学研讨会》

2007

一个加热影响热带环流模式的适定性分析

《第二十届全国水动力学研讨会文集》