董建伟

2026

An Analytical Solution to the Vacuum Free Boundary Problem of Compressible Navier-Stokes-Korteweg Equations

International Journal of Theoretical Physics

DOI

2026

A note on spreading rate of the free boundary of inviscid gas surrounding a heavy solid planet

Physica Scripta

DOI

2026

A Class of Analytical Solutions to the Vacuum Free Boundary Problem of a Viscous Two-Phase Model with Spherical Symmetry

International Journal of Theoretical Physics

DOI

2026

Analytical solutions to the compressible Navier–Stokes equations with revised Maxwell's law

Mathematische Nachrichten

DOI

2026

Analytical solutions to some one-dimensional compressible fluid equations

AIMS Mathematics

DOI

2026

Analytical solutions to the cylindrically symmetric compressible Navier-Stokes equations with free boundary

Czechoslovak Mathematical Journal

DOI

2025

Spreading rate of the free boundary of inviscid gas surrounding a heavy solid planet

Physica Scripta

DOI

2025

Analytical solutions to a model of inviscid liquid-gas two-phase flow with Coriolis force and free boundary

Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information Science

DOI

2025

Slant kink-wave solutions and spreading of the free boundary of the inhomogeneous pressureless Euler equations

Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao

DOI

2025

Some Analytical Solutions to the Compressible Euler-Korteweg Equations

International Journal of Theoretical Physics

DOI

2025

Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force

Mathematical Methods in the Applied Sciences

DOI

2024

Analytical solutions to the free boundary problem of a two-phase model with radial and cylindrical symmetry

Nonlinear Analysis

DOI

2024

Analytical solutions to the pressureless Euler–Korteweg equations with free boundary

Journal of Evolution Equations

DOI

2024

Analytical solutions to the cylindrically symmetric compressible isothermal Euler-Poisson equations of galaxies

Classical and Quantum Gravity

DOI

2024

Remarks on analytical solutions to compressible Navier–Stokes equations with free boundaries

Advanced Nonlinear Studies

DOI

2024

Explicit Solutions for the Semi-Stationary Compressible Stokes Problem

International Journal of Theoretical Physics

DOI

2024

Analytical solutions to the Euler equations for Chaplygin gas

Physica Scripta

DOI

2024

Analytical Solutions to a Model of Inviscid Liquid-gas Two-phase Flow with Cylindrical Symmetry and Free Boundary

Acta Mathematicae Applicatae Sinica English Series

DOI

2024

Rotational and self-similar solutions to the 2D Euler equations for Chaplygin gas

Modern Physics Letters A

DOI

2024

Analytical solutions to the compressible Euler equations with cylindrical symmetry and free boundary

Journal of Hyperbolic Differential Equations

DOI

2024

Analytical solutions to the 1D compressible isothermal Navier–Stokes equations with Maxwell’s law

Reviews in Mathematical Physics

DOI

2024

Analytical Solutions to the Cylindrically Symmetric Compressible Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum Free Boundary

Bulletin of the Brazilian Mathematical Society New Series

DOI

2023

Analytical solutions to the isentropic Euler system with the logarithmic equation of state

Modern Physics Letters A

DOI

2023

Remarks on blowup of solutions for one‐dimensional compressible Navier–Stokes equations with Maxwell's law

Mathematische Nachrichten

DOI

2023

Free boundary value problem for a model of inviscid liquid‐gas two‐phase flow with radial symmetry

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

DOI

2023

Analytical solutions to the pressureless Navier–Stokes equations with density-dependent viscosity coefficients

Communications in Contemporary Mathematics

DOI

2023

Blowup and non-global existence of smooth solutions to the one-dimensional Euler–Boltzmann equations

Journal of Hyperbolic Differential Equations

DOI

2023

Non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid

Czechoslovak Mathematical Journal

DOI

2022

带自由边界的可压缩欧拉与欧拉-泊松方程组径向对称解的爆破

《数学年刊A辑(中文版)》

2022

Remarks on Blowup of Solutions for Compressible Navier–Stokes Equations with Revised Maxwell’s Law

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2022

Analytical solutions to the compressible Euler equations with time-dependent damping and free boundaries

Journal of Mathematical Physics

DOI

2022

Analytical Blowup Solutions to the Compressible Euler Equations with Time-depending Damping

Acta Mathematicae Applicatae Sinica English Series

DOI

2021

有限初始能量的相对论欧拉方程组光滑解的爆破

《高校应用数学学报A辑》

DOI

2021

An exact solution for the semi-stationary compressible Stokes problem

Ricerche di Matematica

DOI

2021

Analytical solutions to the 1D compressible isothermal Navier–Stokes equations with density-dependent viscosity

Journal of Mathematical Physics

DOI

2020

可压缩量子Navier-Stokes方程组光滑解的爆破

《中国科学:数学》

2020

Some special self-similar solutions for a model of inviscid liquid-gas two-phase flow

Acta Mathematica Scientia

DOI

2020

Blowup of smooth solutions to the compressible Euler equations with radial symmetry on bounded domains

Zeitschrift für angewandte Mathematik und Physik

DOI

2020

Formation of singularities of solutions to the IBVP of the Euler–Boltzmann equations

Journal of Evolution Equations

DOI

2019

可压缩非等熵欧拉方程组轴对称解的爆破（英文）

《应用数学》

DOI

2019

Blowup of classical solutions to the pressureless Euler/isentropic Navier‐Stokes equations

Mathematical Methods in the Applied Sciences

DOI

2019

Blow-up for the compressible isentropic Navier-Stokes-Poisson equations

Czechoslovak Mathematical Journal

DOI

2019

Singularities of solutions to compressible Euler equations with damping

European Journal of Mechanics - B/Fluids

DOI

2018

一维可压缩量子Navier-Stokes方程组解的爆破

《吉林大学学报(理学版)》

2018

Blow-up of the smooth solution to the IBVP of three-dimensional quantum hydrodynamic models

Nonlinear Analysis

DOI

2018

Blow-up of spherically symmetric smooth solutions to quantum hydrodynamic models

Journal of Mathematical Analysis and Applications

DOI

2018

Exponential Decay in Time of Density of One-dimensional Quantum Navier-Stokes Equations

Acta Mathematicae Applicatae Sinica English Series

DOI

2018

Blowup for the compressible isothermal Euler equations with non-vacuum initial data

Applicable Analysis

DOI

2018

Blow-up of Smooth Solutions to the Cauchy Problem for the Viscous Two-Phase Model

Mathematical Physics Analysis and Geometry

DOI

2018

Remarks on blow-up of the smooth solution to quantum hydrodynamic models in $$\mathbf {R}^{d}$$

Nonlinear Differential Equations and Applications NoDEA

DOI

2018

A note on blowup of smooth solutions for relativistic Euler equations with infinite initial energy

Letters in Mathematical Physics

DOI

2017

一维双极量子能量输运稳态模型弱解的唯一性

《吉林大学学报(理学版)》

2016

一个半导体简化能量输运模型稳态解的唯一性

《山东大学学报(理学版)》

2016

A simplified stationary energy-transport model with temperature-dependent conductivity

Nonlinear Analysis Real World Applications

DOI

2015

一维半导体量子能量输运模型稳态解的唯一性

《数学杂志》

2015

一维双极量子流体动力学等温模型稳态解的唯一性

《东北师大学报(自然科学版)》

2015

一个半导体器件模型热平衡解的唯一性

《重庆文理学院学报(社会科学版)》

2014

一个一维半导体简化能量输运模型的稳态解

《数学年刊A辑(中文版)》

2014

一个一维简化量子能量运输稳态模型分析(英文)

《应用数学》

2014

一个双极半导体器件模型稳态解的唯一性

《服装学报》

2013

一维稳态量子Navier-Stokes方程组古典解的唯一性(英文)

《应用数学》

2013

一维稳态量子Navier-Stokes方程组分析

《数学物理学报》

2013

一维等温量子Navier-Stokes方程组的热平衡状态

《四川师范大学学报(自然科学版)》

2013

一维量子Navier-Stokes方程组的指数衰减(英文)

《数学杂志》

2013

Existence of classical solutions to a stationary simplified quantum energy-transport model in 1-dimensional space

Chinese Annals of Mathematics Series B

DOI

2012

量子Navier-Stokes方程组的热平衡解

《阜阳师范大学学报(自然科学版)》

2012

Classical solutions to the one-dimensional stationary quantum drift–diffusion model

Journal of Mathematical Analysis and Applications

DOI

2012

Non-implicational relations in mathematical analysis

Journal of Science of Teachers' College and University

2011

Classical solutions to one-dimensional stationary quantum Navier–Stokes equations

Journal de Mathématiques Pures et Appliquées

DOI

2011

Long-time behavior of solutions to bipolar isentropic quantum drift-diffusion model

International Conference on Computer Science and Service System

DOI

2011

Semiclassical Limit of Solutions to an Ultra-Small Semiconductor Device Model

International Workshop on Intelligent Systems and Applications (ISA)

DOI

2010

双极量子漂移-扩散等熵模型的混合边界问题

《应用数学》

2010

A note on barotropic compressible quantum Navier–Stokes equations

Nonlinear Analysis

DOI

2010

Mixed Boundary Problem for Bipolar Isentropic Quantum Drift-diffusion Model

Mathematica Applicata

2009

The global existence of weak solutions to bipolar quantum Drift-diffusion model

Journal of Hunan University of Arts and Science

2009

The thermal equilibrium solution of bipolar quantum hydrodynamic model

Journal of Zhoukou Normal University

2007

Mixed Boundary Value Problem of a Bipolar Quantum Hydrodynamic Model

Journal of Hunan University of Arts and Science

2013

On the blowing up of solutions to one-dimensional quantum Navier-Stokes equations

Acta Mathematicae Applicatae Sinica English Series

DOI