张映辉｜广西师范大学｜学者主页

2026

Nishida–Smoller‐type large solutions for the compressible Navier–Stokes equations with slip boundary conditions in 3D exterior domains

Minghong Xie, Saiguo Xu, Yinghui Zhang

Journal of the London Mathematical Society

DOI

2026

Nishida–Smoller type large solutions and exponential growth for the compressible Navier–Stokes equations with slip boundary conditions in 3D bounded domain

Saiguo Xu, Yinghui Zhang

European journal of applied mathematics

DOI

2026

A New Blowup Criterion for the 3D Barotropic Compressible Navier-Stokes Equations with Vacuum

Saiguo Xu, Yinghui Zhang

SIAM Journal on Mathematical Analysis

DOI

2026

Global strong solutions of compressible Navier–Stokes equations with small scaling invariant

Minghong Xie, Saiguo Xu, Yinghui Zhang

Journal of Mathematics and Physics

DOI

2026

Nishida-Smoller Type Large Solutions to the 3D Compressible MHD Equations with Slip Boundary Conditions in Exterior Domains

Su-Yang Feng, Yinghui Zhang

Communications on Pure and Applied Analysis

DOI

2026

High-capillarity limit and smoothing effect of large solutions for a multi-dimensional generic non-conservative compressible two-fluid model

Ling-Yun Shou, Jiayan Wu, Lei Yao, Yinghui Zhang

Nonlinearity

DOI

2026

Incompressible limit for a non-conservative compressible two-fluid model

Zijian Du, Ling-Yun Shou, Lei Yao, Yinghui Zhang

Communications on Pure &amp Applied Analysis

DOI

2026

Asymptotic behavior of solutions to the compressible Euler equations with space-dependent damping on the half line

Nangao Zhang, Yinghui Zhang

Communications in Contemporary Mathematics

DOI

2026

Nishida-Smoller Type Large Solutions for the Compressible Magnetohydrodynamic Equations in 3D Bounded Domain

Jinxia Liu, Yinghui Zhang

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2026

Wave propagation of the full compressible Oldroyd-B model

Zhigang Wu, Guochun Wu, Yinghui Zhang

Communications in Mathematical Sciences

DOI

2025

“一导向、五维度”数学学科研究生创新型人才培养模式研究

张映辉，马林涛，肖长国

《知识窗(教师版)》

2025

A new blowup criterion for the 3D viscous liquid–gas two-phase flow model with vacuum

Saiguo Xu, Yinghui Zhang

Journal of evolution equations (Printed ed.)

DOI

2025

Global existence for a class of large solution to the three-dimensional isentropic compressible nematic liquid crystal flows

Meiyun Dai, Yuqi Ning, Yinghui Zhang

Journal of Mathematics and Physics

DOI

2025

A blowup criterion for the three-dimensional compressible viscous micropolar fluids

Meiyun Dai, Jinxia Liu, Yinghui Zhang

Applied Mathematics Letters

DOI

2025

Optimal large time behavior of the 3D rate type viscoelastic fluids

Yang-Yang Chen, Yinghui Zhang

Advances in Nonlinear Analysis

DOI

2025

Nishida-Smoller type large solutions for the compressible micropolar fluid equations with slip boundary conditions in 3D bounded domain

Hengzhi Li, Yinghui Zhang

Communications on Pure and Applied Analysis

DOI

2025

Stability and instability of a generic compressible two-fluid model with equal pressures

Guochun Wu, Yunshun Wu, Yinghui Zhang

Journal of Differential Equations

DOI

2025

Pointwise space-time behavior for compressible Navier–Stokes equations with Yukawa potential

Zhigang Wu, Yinghui Zhang

Letters in Mathematical Physics

DOI

2025

Space–Time Decay Rates of the Compressible Navier-Stokes Equations with Hyperbolic Heat Conduction

Tianzheng Yang, Yinghui Zhang

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2025

Initial boundary value problem for 3D non-conservative compressible two-fluid model

Guochun Wu, Lei Yao, Yinghui Zhang

Nonlinearity

DOI

2025

Space-time decay rates of a nonconservative compressible two-phase flow model with common pressure

Linyan Fan, Yinghui Zhang

Electronic Research Archive

DOI

2025

Space-time decay rate for the 3D compressible quantum magnetohydrodynamic model

Siyi Luo, Yinghui Zhang

Electronic Research Archive

DOI

2025

Non-existence of strong solutions to the two-dimensional radially symmetric compressible Navier–Stokes equations

Guochun Wu, Lei Yao, Yinghui Zhang

Proceedings of the American Mathematical Society

DOI

2025

Space–time decay rates of a nonconservative compressible two–phase flow model

Tianzheng Yang, Yinghui Zhang

Journal of Mathematical Physics

DOI

2024

The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping

Han Wang, Yinghui Zhang

Acta Mathematica Scientia

DOI

2024

“双减”背景下深度学习的数学公式教学探讨——以“完全平方公式”教学为例

向雨荷，张映辉

《数学教学》

2024

Weak Serrin-type criterion for the 3D full compressible Navier-Stokes equations

Minghong Xie, Saiguo Xu, Yinghui Zhang

Discrete and Continuous Dynamical Systems - B

DOI

2024

Space–time decay rates for the 3D compressible micropolar fluids system

Wanping Wu, Yinghui Zhang

Journal of Mathematical Analysis and Applications

DOI

2024

Space-time decay rate for strong solutions to the viscous liquid-gas two-phase flow with magnetic field

Yuang Chen, Zhengyan Luo, Yinghui Zhang

Annales Polonici Mathematici

DOI

2024

Space-time Decay Rate for the Compressible Navier–Stokes–Korteweg System in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{doc

Wanping Wu, Yinghui Zhang

Bulletin of the Iranian Mathematical Society

DOI

2024

Vanishing capillarity limit of a generic compressible two–fluid model with common pressure

Zhong Tan, Guochun Wu, Lei Yao, Yinghui Zhang

Journal of Differential Equations

DOI

2024

Large time behavior of weak solutions to the inhomogeneous incompressible Navier-Stokes-Vlasov equations in R 3

Yunfei Su, Guochun Wu, Lei Yao, Yinghui Zhang

Journal of Differential Equations

DOI

2023

基于知识建模图的数学建模素养的应用分析——以2021年高考题为例

王素素，张映辉，罗瑶

《中学数学》

2023

近五年高考全国卷三角试题分析与备考建议

罗瑶，张映辉，王素素

《中学数学》

2023

Global low-energy weak solutions for compressible magneto-micropolar fluids with discontinuous initial data in R^3

Wanping Wu, Yinghui Zhang

Electronic Journal of Differential Equations

DOI

2023

Non–uniform decay of solutions to the incompressible magneto–micropolar fluids with/without magnetic diffusion and spin viscosity

Wanping Wu, Yinghui Zhang

Journal of Mathematics and Physics

DOI

2023

Global well-posedness and large time behavior of classical solutions to a generic compressible two-fluid model

Guochun Wu, Lei Yao, Yinghui Zhang

Mathematische Annalen

DOI

2023

Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model

Yin Li, Huaqiao Wang, Guochun Wu, Yinghui Zhang

Journal of Mathematical Fluid Mechanics

DOI

2023

On instability of a generic compressible two-fluid model in R3

Guochun Wu, Lei Yao, Yinghui Zhang

Nonlinearity

DOI

2023

Optimal Large Time Behavior of the Full Compressible Navier–Stokes System in $${\mathbb {R}}^3$$

Zhengyan Luo, Yinghui Zhang

Bulletin of the Brazilian Mathematical Society New Series

DOI

2023

Space-time decay rates of a two-phase flow model with magnetic field in R^3

Qin Ye, Yinghui Zhang

Electronic Journal of Differential Equations

DOI

2023

Space–Time Decay Rate of the Compressible Adiabatic Flow Through Porous Media in $${\mathbb {R}}^3$$

Qin Ye, Yinghui Zhang

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2023

Space–time decay rates for the 3D full compressible MHD equations

Yuang Chen, Zhengyan Luo, Yinghui Zhang

Discrete and Continuous Dynamical Systems - B

DOI

2023

Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ 3

Shanshan Guo, Guochun Wu, Yinghui Zhang

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2023

Optimal decay rates of a nonconservative compressible two‐phase fluid model

Huaqiao Wang, Juan Wang, Guochun Wu, Yinghui Zhang

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

DOI

2023

Optimal large time behavior of the compressible bipolar Navier–Stokes–Poisson system

Qing Chen, Guochun Wu, Yinghui Zhang

Communications in Mathematical Sciences

DOI

2023

Global Stability and Nonvanishing Vacuum States of 3D Compressible Navier–Stokes Equations

Guochun Wu, Lei Yao, Yinghui Zhang

SIAM Journal on Mathematical Analysis

DOI

2022

可压缩非守恒两相流模型

张映辉，叶琴

《广西师范大学学报(自然科学版)》

2022

核心素养视角下数学教学目标的设计

庞嵘嵘，张映辉

《中学数学》

2022

核心素养视角下高考数学选择题评析及解题建议——以2021年高考数学全国卷为例

罗瑶，张映辉

《数理化解题研究》

2022

模拟趋化现象的三维双曲-抛物系统的最优衰减率

王涵，张映辉

《广西师范大学学报(自然科学版)》

2022

Space–time decay rate for the two-phase flow model

Zhengyan Luo, Qin Ye, Yinghui Zhang

Zeitschrift für angewandte Mathematik und Physik

DOI

2022

Hydrodynamic limit for the inhomogeneous incompressible Navier-Stokes-Vlasov equations

Yunfei Su, Guochun Wu, Lei Yao, Yinghui Zhang

Journal of Differential Equations

DOI

2022

Optimal large-time behavior of solutions to the full compressible Navier–Stokes equations with Large initial data

Zhengyan Luo, Yinghui Zhang

Journal of Evolution Equations

DOI

2022

Optimal large time behaviour of the 3D compressible magnetohydrodynamics equations with large initial data

Guochun Wu, Juan Wang, Yinghui Zhang

Nonlinearity

DOI

2022

Optimal decay rates for higher-order derivatives of solutions to 3D compressible Navier-Stokes-Poisson equations with external force

Liuna Qin, Changguo Xiao, Yinghui Zhang

Electronic Journal of Differential Equations

DOI

2022

Global existence and large time behavior of the quantum Boltzmann equation with small relative entropy

Yong Wang, Changguo Xiao, Yinghui Zhang

Kinetic and Related Models

DOI

2022

Optimal decay rates for higher-order derivatives of solutions to the 3D magneto-micropolar fluid equations

Liuna Qin, Yinghui Zhang

Applied Mathematics Letters

DOI

2022

Optimal Decay Rates of Higher-Order Derivatives of Solutions to the Compressible Navier–Stokes System

Lintao Ma, Juan Wang, Yinghui Zhang

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2022

Optimal time-decay rates of the 3D compressible nematic liquid crystal flows with discontinuous initial data and large oscillations

Han Wang, Yinghui Zhang

Nonlinear Analysis

DOI

2022

Optimal decay rates for higher-order derivatives of solutions to the 3D compressible micropolar fluids system

Liuna Qin, Yinghui Zhang

Journal of Mathematical Analysis and Applications

DOI

2022

Optimal decay rate for higher–order derivatives of solution to the 3D compressible quantum magnetohydrodynamic model

Juan Wang, Yinghui Zhang

Advances in Nonlinear Analysis

DOI

2022

Optimal large-time behavior of the full 3D compressible MHD system

Han Wang, Yinghui Zhang

Annales Polonici Mathematici

DOI

2022

Optimal decay rates of higher–order derivatives of solutions for the compressible nematic liquid crystal flows in $ \mathbb R^3 $

Zhengyan Luo, Lintao Ma, Yinghui Zhang

AIMS Mathematics

DOI

2021

探讨“数学分析”课程思政教学策略——发掘课程思政元素，构建科学教学体系

吴国春，张映辉，肖长国，马林涛

《教育教学论坛》

2021

Global existence and time decay rates of the two-phase fluid system in $${\mathbb {R}}^3$$

Yinghui Zhang, Juan Wang, Changguo Xiao, Lintao Ma

Zeitschrift für angewandte Mathematik und Physik

DOI

2021

Optimal large time behavior of the compressible Navier–Stokes–Korteweg system in R3

Juan Wang, Changguo Xiao, Yinghui Zhang

Applied Mathematics Letters

DOI

2021

Optimal time-decay rates of the compressible Navier–Stokes–Poisson system in $ \mathbb R^3 $

Guochun Wu, Han Wang, Yinghui Zhang

Electronic Research Archive

DOI

2020

Global existence and time decay rates for the 3D bipolar compressible Navier-Stokes-Poisson system with unequal viscosities

Guochun Wu, Yinghui Zhang, An-Zhen Zhang

Science China Mathematics

DOI

2020

Optimal time‐decay rates for the 3D compressible Magnetohydrodynamic flows with discontinuous initial data and large oscillations

Guochun Wu, Yinghui Zhang, Weiyuan Zou

Journal of the London Mathematical Society

DOI

2020

Boundary Effect on Asymptotic Behavior of Solutions to the p -System with Time-Dependent Damping

Ran Duan, Mina Jiang, Yinghui Zhang

Advances in Mathematical Physics

DOI

2019

Local well-posedness of the free-surface incompressible elastodynamics

Yinghui Zhang

Journal of Differential Equations

DOI

2019

Global well-posedness and large time behaviour of the viscous liquid-gas two-phase flow model in ℝ3

Guochun Wu, Yinghui Zhang

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2013

一个耦合双曲-抛物系统的全局光滑解

张映辉，谭忠，孙明保

《数学年刊A辑(中文版)》

2012

一个模拟趋化现象的广义双曲-抛物系统的光滑解的全局分析

张映辉，谭忠，赖柏顺，孙明保

《数学年刊A辑(中文版)》

2010

STRONG SOLUTIONS OF THE COUPLED NAVIER-STOKES-POISSON EQUATIONS FOR ISENTROPIC COMPRESSIBLE FLUIDS

T. Zhong, Yinghui Zhang

DOI

2008

“费曼讲物理”给我们的启示

张映辉

《中国大学教学》，No. 3

下载原文

2002

电磁学教学中比较法的运用

张映辉，刘洪敏

《高教发展与评估》，No. 4

下载原文

1997

时空与间隔的关系：狭义相对论教学体会

张映辉

《高教发展与评估》，No. 3

下载原文

Global analysis of strong solutions for a general compressible two-fluid model with slip boundary conditions in 3D bounded domains

Yu-Qi Ning, Yinghui Zhang

Bulletin des Sciences Mathématiques

DOI

精选作品

期刊论文

Nishida–Smoller‐type large solutions for the compressible Navier–Stokes equations with slip boundary conditions in 3D exterior domains

Nishida–Smoller type large solutions and exponential growth for the compressible Navier–Stokes equations with slip boundary conditions in 3D bounded domain

A New Blowup Criterion for the 3D Barotropic Compressible Navier-Stokes Equations with Vacuum

Global strong solutions of compressible Navier–Stokes equations with small scaling invariant

Nishida-Smoller Type Large Solutions to the 3D Compressible MHD Equations with Slip Boundary Conditions in Exterior Domains

High-capillarity limit and smoothing effect of large solutions for a multi-dimensional generic non-conservative compressible two-fluid model

Incompressible limit for a non-conservative compressible two-fluid model

Asymptotic behavior of solutions to the compressible Euler equations with space-dependent damping on the half line

Nishida-Smoller Type Large Solutions for the Compressible Magnetohydrodynamic Equations in 3D Bounded Domain

Wave propagation of the full compressible Oldroyd-B model

“一导向、五维度”数学学科研究生创新型人才培养模式研究

A new blowup criterion for the 3D viscous liquid–gas two-phase flow model with vacuum

Global existence for a class of large solution to the three-dimensional isentropic compressible nematic liquid crystal flows

A blowup criterion for the three-dimensional compressible viscous micropolar fluids

Optimal large time behavior of the 3D rate type viscoelastic fluids

Nishida-Smoller type large solutions for the compressible micropolar fluid equations with slip boundary conditions in 3D bounded domain

Stability and instability of a generic compressible two-fluid model with equal pressures

Pointwise space-time behavior for compressible Navier–Stokes equations with Yukawa potential

Space–Time Decay Rates of the Compressible Navier-Stokes Equations with Hyperbolic Heat Conduction

Initial boundary value problem for 3D non-conservative compressible two-fluid model

Space-time decay rates of a nonconservative compressible two-phase flow model with common pressure

Space-time decay rate for the 3D compressible quantum magnetohydrodynamic model

Non-existence of strong solutions to the two-dimensional radially symmetric compressible Navier–Stokes equations

Space–time decay rates of a nonconservative compressible two–phase flow model

The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping

“双减”背景下深度学习的数学公式教学探讨——以“完全平方公式”教学为例

Weak Serrin-type criterion for the 3D full compressible Navier-Stokes equations

Space–time decay rates for the 3D compressible micropolar fluids system

Space-time decay rate for strong solutions to the viscous liquid-gas two-phase flow with magnetic field

Vanishing capillarity limit of a generic compressible two–fluid model with common pressure

Large time behavior of weak solutions to the inhomogeneous incompressible Navier-Stokes-Vlasov equations in R 3

基于知识建模图的数学建模素养的应用分析——以2021年高考题为例

近五年高考全国卷三角试题分析与备考建议

Global low-energy weak solutions for compressible magneto-micropolar fluids with discontinuous initial data in R^3

Non–uniform decay of solutions to the incompressible magneto–micropolar fluids with/without magnetic diffusion and spin viscosity

Global well-posedness and large time behavior of classical solutions to a generic compressible two-fluid model

Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model

On instability of a generic compressible two-fluid model in R3

Optimal Large Time Behavior of the Full Compressible Navier–Stokes System in $${\mathbb {R}}^3$$

Space-time decay rates of a two-phase flow model with magnetic field in R^3

Space–Time Decay Rate of the Compressible Adiabatic Flow Through Porous Media in $${\mathbb {R}}^3$$

Space–time decay rates for the 3D full compressible MHD equations

Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ 3

Optimal decay rates of a nonconservative compressible two‐phase fluid model

Optimal large time behavior of the compressible bipolar Navier–Stokes–Poisson system

Global Stability and Nonvanishing Vacuum States of 3D Compressible Navier–Stokes Equations

可压缩非守恒两相流模型

核心素养视角下数学教学目标的设计

核心素养视角下高考数学选择题评析及解题建议——以2021年高考数学全国卷为例

模拟趋化现象的三维双曲-抛物系统的最优衰减率

Space–time decay rate for the two-phase flow model

Hydrodynamic limit for the inhomogeneous incompressible Navier-Stokes-Vlasov equations

Optimal large-time behavior of solutions to the full compressible Navier–Stokes equations with Large initial data

Optimal large time behaviour of the 3D compressible magnetohydrodynamics equations with large initial data

Optimal decay rates for higher-order derivatives of solutions to 3D compressible Navier-Stokes-Poisson equations with external force

Global existence and large time behavior of the quantum Boltzmann equation with small relative entropy

Optimal decay rates for higher-order derivatives of solutions to the 3D magneto-micropolar fluid equations

Optimal Decay Rates of Higher-Order Derivatives of Solutions to the Compressible Navier–Stokes System

Optimal time-decay rates of the 3D compressible nematic liquid crystal flows with discontinuous initial data and large oscillations

Optimal decay rates for higher-order derivatives of solutions to the 3D compressible micropolar fluids system

Optimal decay rate for higher–order derivatives of solution to the 3D compressible quantum magnetohydrodynamic model

Optimal large-time behavior of the full 3D compressible MHD system

Optimal decay rates of higher–order derivatives of solutions for the compressible nematic liquid crystal flows in $ \mathbb R^3 $

探讨“数学分析”课程思政教学策略——发掘课程思政元素，构建科学教学体系

Global existence and time decay rates of the two-phase fluid system in $${\mathbb {R}}^3$$

Optimal large time behavior of the compressible Navier–Stokes–Korteweg system in R3

Optimal time-decay rates of the compressible Navier–Stokes–Poisson system in $ \mathbb R^3 $

Global existence and time decay rates for the 3D bipolar compressible Navier-Stokes-Poisson system with unequal viscosities

Optimal time‐decay rates for the 3D compressible Magnetohydrodynamic flows with discontinuous initial data and large oscillations

Boundary Effect on Asymptotic Behavior of Solutions to the p -System with Time-Dependent Damping

Local well-posedness of the free-surface incompressible elastodynamics

Global well-posedness and large time behaviour of the viscous liquid-gas two-phase flow model in ℝ3

一个耦合双曲-抛物系统的全局光滑解

一个模拟趋化现象的广义双曲-抛物系统的光滑解的全局分析

STRONG SOLUTIONS OF THE COUPLED NAVIER-STOKES-POISSON EQUATIONS FOR ISENTROPIC COMPRESSIBLE FLUIDS

“费曼讲物理”给我们的启示

电磁学教学中比较法的运用

时空与间隔的关系：狭义相对论教学体会