Global strong solutions to magnetohydrodynamics with density-dependent viscosity and degenerate heat-conductivity

DOI10.1088/1361-6544/ab3059zbMath1430.35197arXiv1809.04451OpenAlexW2890308550MaRDI QIDQ5240843

Xiao-ding Shi, Bin Huang, Ying Sun

Publication date: 29 October 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.04451

zbMATH Keywords

magnetohydrodynamicslarge initial datadensity-dependent viscosityglobal strong solutionsdegenerate heat-conductivity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (6)

Global strong solutions to planar radiative magnetohydrodynamic equations with density-dependent viscosity and degenerate heat-conductivity ⋮ Hall effect on the asymptotic stability of the planar compressible MHD flows ⋮ Global existence of strong solutions to MHD with density-depending viscosity and temperature-depending heat-conductivity in unbounded domains ⋮ Global existence of large solutions to the planar magnetohydrodynamic equations with zero magnetic diffusivity ⋮ Global strong solution for compressible and radiative MHD flow with density-dependent viscosity and degenerate heat-conductivity in unbounded domains ⋮ Large-time behavior of magnetohydrodynamics with temperature-dependent heat-conductivity

Cites Work

• Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum
• Vanishing shear viscosity limit in the magnetohydrodynamic equations
• Global solutions to the initial value problem for the equations of one- dimensional motion of viscous polytropic gases
• On the first initial-boundary value problem of compressible viscous fluid motion
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
• Global solutions of nonlinear magnetohydrodynamics with large initial data
• Compressible Navier-Stokes equations with temperature dependent heat conductivity
• Global large solutions of magnetohydrodynamics with temperature-dependent heat conductivity
• Non-linear wave propagation with applications to physics and magnetohydrodynamics
• One-Dimensional Compressible Flow with Temperature Dependent Transport Coefficients
• On the Rayleigh–Taylor Instability for Incompressible, Inviscid Magnetohydrodynamic Flows
• A difference scheme on a non-uniform mesh for the equations of one-dimensional magnetic gas dynamics
• Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics
• On the Rayleigh–Taylor Instability for the Incompressible Viscous Magnetohydrodynamic Equations
• ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Le problème de Cauchy pour les équations différentielles d'un fluide général

This page was built for publication: Global strong solutions to magnetohydrodynamics with density-dependent viscosity and degenerate heat-conductivity