胡玉玺｜中国矿业大学(北京)｜学者主页

期刊论文

2026

偏微分方程：理论、数值解及应用 = Partial differential equations: theory, numerical solutions, and applications

胡玉玺

《北京邮电大学出版社》

2026

研究生“非线性发展方程”课程教学改革探索与实践

郭春晓，胡玉玺

《教育教学论坛》

2026

Asymptotic stability of composite waves of viscous shock and rarefaction for relaxed compressible Navier-Stokes equations

Renyong Guan, Yuxi Hu

Calculus of Variations and Partial Differential Equations

DOI

2026

Asymptotic Stability of Composite Waves of Two Viscous Shocks for Relaxed Compressible Navier-Stokes Equations

Renyong Guan, Yuxi Hu

Journal of Mathematical Fluid Mechanics

DOI

2025

半轴上双曲可压缩Navier-Stokes方程组的整体适定性及松弛极限

王娜，胡玉玺

《应用数学学报》

DOI

2025

Well‐Posedness and Relaxation Limit for Relaxed Compressible Fluid Equations in Bounded Domains

Yuxi Hu, Xiaoning Zhao

Mathematical Methods in the Applied Sciences

DOI

2025

Global solutions and uniform convergence stability for compressible Navier–Stokes equations with Oldroyd‐type constitutive law

Na Wang, Sébastien Boyaval, Yuxi Hu

Mathematische Nachrichten

DOI

2025

Blowup of solutions for compressible viscoelastic fluid

Na Wang, Sébastien Boyaval, Yuxi Hu

Applied Mathematics Letters

DOI

2025

Analytical Solutions to Relaxed Compressible Navier-Stokes Equations with Vacuum Free Boundary

Na Wang, Yuxi Hu

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2025

Well-posedness of solutions for multi-d hyperbolized compressible Navier-Stokes equations

Yuxi Hu, Reinhard Racke

KOPS (University of Konstanz)

2024

Blow-up of solutions for relaxed compressible Navier–Stokes equations

Yuxi Hu, Reinhard Racke

Journal of Hyperbolic Differential Equations

DOI

2023

Linear quadratic optimal regulation for multiplicative noise systems with special terminal penalty

Hongxia Wang, Lianfeng Song, Yuxi Hu, Xiao Lu

International Journal Of Systems Science，Vol. 540, No. 10

DOI

2023

基于随机极大值原理的带有约束的线性二次型最优控制问题的研究

胡玉玺

《山东科技大学》

2023

The Low Mach Number Limit for Isentropic Compressible Navier-Stokes Equations with a Revised Maxwell’s Law

Yuxi Hu, Zhao Wang

Acta Mathematica Scientia

DOI

2023

Global Existence Versus Blow-Up for Multidimensional Hyperbolized Compressible Navier–Stokes Equations

Yuxi Hu, Reinhard Racke

SIAM Journal on Mathematical Analysis

DOI

2023

Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations

Yuxi Hu, Xuefang Wang

Journal of Mathematical Fluid Mechanics

DOI

2022

Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations

Yuxi Hu, Reinhard Racke, Na Wang

Journal of Differential Equations

DOI

2022

Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law

Yuxi Hu, Wang Zhao

Quarterly of Applied Mathematics

DOI

2021

常微分方程中Riccati类型不等式的探讨

胡玉玺，王娜，杨晨晨

《数学学习与研究》

2021

Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law

Zhao Wang, Yuxi Hu

Journal of Mathematical Fluid Mechanics

DOI

2021

Local well‐posedness for an isentropic compressible Ginzburg–Landau–Navier–Stokes with vacuum

Jishan Fan, Yuxi Hu, Gen Nakamura

Mathematische Nachrichten

DOI

2020

Hyperbolic compressible Navier-Stokes equations

Yuxi Hu, Reinhard Racke

Journal of Differential Equations

DOI

2020

Blowup of solutions for compressible Navier–Stokes equations with revised Maxwell’s law

Na Wang, Yuxi Hu

Applied Mathematics Letters

DOI

2019

二维等温可压缩磁流体方程组的不可压极限

王昕，胡玉玺

《应用数学学报》

2019

On global solutions of gravity driven nonhomogeneous viscous flows in a bounded domain

Na Wang, Yuxi Hu

Mathematical Methods in the Applied Sciences

DOI

2018

Global existence versus blow‐up results for one dimensional compressible Navier–Stokes equations with Maxwell's law

Yuxi Hu, Na Wang

Mathematische Nachrichten

DOI

2016

Compressible Navier–Stokes Equations with hyperbolic heat conduction

Yuxi Hu, Reinhard Racke

Journal of Hyperbolic Differential Equations

DOI

2016

Compressible Navier–Stokes Equations with Revised Maxwell’s Law

Yuxi Hu, Reinhard Racke

Journal of Mathematical Fluid Mechanics

DOI

2015

Global existence and asymptotic behavior for one-dimensional thermoelasticity of integral type with hyperbolic heat conduction

Yuxi Hu

DOI

2015

On global solutions and asymptotic behavior of planar magnetohydrodynamics with large data

Yuxi Hu

Quarterly of Applied Mathematics

DOI

预印本

2026

Asymptotic Stability of Rarefaction Waves for the Hyperbolized Navier-Stokes-Fourier System

Yuxi Hu, Mengran Yuan, Jie Zhang

arXiv preprint

2026

Time-asymptotic stability of composite waves of degenerate Oleinik shock and rarefaction for non-convex conservation laws with Cattaneo's law

Yuxi Hu, Ran Song

arXiv preprint

2025

Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations

Yuxi Hu, Yachun Li

arXiv preprint

2025

Asymptotic stability of planar viscous shock wave to three-dimensional relaxed compressible Navier-Stokes equations

Renyong Guan, Yuxi Hu

arXiv (Cornell University)

DOI

2025

Global Spherically Symmetric Solutions and Relaxation Limit for the Relaxed Compressible Navier-Stokes Equations

Yuxi Hu, Mengran Yuan

arXiv preprint

2025

Initial boundary value problems for 3-d Navier-Stokes equations with hyperbolic heat conduction

Yuxi Hu, Reinhard Racke

arXiv preprint

2022

Asymptotic stability of rarefaction waves for compressible Navier-Stokes equations with relaxation

Yuxi Hu, Xuefang Wang

arXiv preprint

2012

On Neumann boundary problem for strongly degenerate parabolic-hyperbolic equations on a bounded rectangle

Yuxi Hu, Yachun Li

arXiv preprint

精选作品

期刊论文

偏微分方程：理论、数值解及应用 = Partial differential equations: theory, numerical solutions, and applications

研究生“非线性发展方程”课程教学改革探索与实践

Asymptotic stability of composite waves of viscous shock and rarefaction for relaxed compressible Navier-Stokes equations

Asymptotic Stability of Composite Waves of Two Viscous Shocks for Relaxed Compressible Navier-Stokes Equations

半轴上双曲可压缩Navier-Stokes方程组的整体适定性及松弛极限

Well‐Posedness and Relaxation Limit for Relaxed Compressible Fluid Equations in Bounded Domains

Global solutions and uniform convergence stability for compressible Navier–Stokes equations with Oldroyd‐type constitutive law

Blowup of solutions for compressible viscoelastic fluid

Analytical Solutions to Relaxed Compressible Navier-Stokes Equations with Vacuum Free Boundary

Well-posedness of solutions for multi-d hyperbolized compressible Navier-Stokes equations

Blow-up of solutions for relaxed compressible Navier–Stokes equations

Linear quadratic optimal regulation for multiplicative noise systems with special terminal penalty

基于随机极大值原理的带有约束的线性二次型最优控制问题的研究

The Low Mach Number Limit for Isentropic Compressible Navier-Stokes Equations with a Revised Maxwell’s Law

Global Existence Versus Blow-Up for Multidimensional Hyperbolized Compressible Navier–Stokes Equations

Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations

Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations

Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law

常微分方程中Riccati类型不等式的探讨

Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law

Local well‐posedness for an isentropic compressible Ginzburg–Landau–Navier–Stokes with vacuum

Hyperbolic compressible Navier-Stokes equations

Blowup of solutions for compressible Navier–Stokes equations with revised Maxwell’s law

二维等温可压缩磁流体方程组的不可压极限

On global solutions of gravity driven nonhomogeneous viscous flows in a bounded domain

Global existence versus blow‐up results for one dimensional compressible Navier–Stokes equations with Maxwell's law

Compressible Navier–Stokes Equations with hyperbolic heat conduction

Compressible Navier–Stokes Equations with Revised Maxwell’s Law

Global existence and asymptotic behavior for one-dimensional thermoelasticity of integral type with hyperbolic heat conduction

On global solutions and asymptotic behavior of planar magnetohydrodynamics with large data

预印本

Asymptotic Stability of Rarefaction Waves for the Hyperbolized Navier-Stokes-Fourier System

Time-asymptotic stability of composite waves of degenerate Oleinik shock and rarefaction for non-convex conservation laws with Cattaneo's law

Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations

Asymptotic stability of planar viscous shock wave to three-dimensional relaxed compressible Navier-Stokes equations

Global Spherically Symmetric Solutions and Relaxation Limit for the Relaxed Compressible Navier-Stokes Equations

Initial boundary value problems for 3-d Navier-Stokes equations with hyperbolic heat conduction

Asymptotic stability of rarefaction waves for compressible Navier-Stokes equations with relaxation

On Neumann boundary problem for strongly degenerate parabolic-hyperbolic equations on a bounded rectangle

研究方向