Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum

DOI10.1142/S0219530521500056zbMath1490.76251OpenAlexW3165830449MaRDI QIDQ5077179

Xin Zhong

Publication date: 18 May 2022

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530521500056

zbMATH Keywords

vacuumglobal strong solutionlarge-time behaviornonhomogeneous heat conducting magnetohydrodynamic equations

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (4)

Local well‐posedness to the 2D Cauchy problem of nonhomogeneous heat‐conducting Navier–Stokes and magnetohydrodynamic equations with vacuum at infinity ⋮ Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large oscillations and vacuum ⋮ Weak Serrin-type finite time blowup and global strong solutions for three-dimensional density-dependent heat conducting magnetohydrodynamic equations with vacuum. ⋮ Global strong solutions of three-dimensional heat conducting incompressible magnetohydrodynamic equations with vacuum

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global solution to the 3D nonhomogeneous incompressible MHD equations with some large initial data
• Global strong solutions for 3D viscous incompressible heat conducting magnetohydrodynamic flows with non-negative density
• Strong solutions to the incompressible magnetohydrodynamic equations with vacuum
• Global strong solution to the 2D nonhomogeneous incompressible MHD system
• Navier-Stokes equations. An introduction with applications
• Regularity results for two-dimensional flows of multiphase viscous fluids
• Elliptic partial differential equations of second order
• On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum
• Global solution to the 3-D inhomogeneous incompressible MHD system with discontinuous density
• Global well-posedness of the 3D incompressible MHD equations with variable density
• Global strong solutions to the 3D incompressible heat-conducting magnetohydrodynamic flows
• Global regularity to the Cauchy problem of the 3D heat conducting incompressible Navier-Stokes equations
• Global strong solution for 3D viscous incompressible heat conducting Navier-Stokes flows with non-negative density
• Global strong solution and exponential decay for nonhomogeneous Navier-Stokes and magnetohydrodynamic equations
• Global existence and large time behavior of strong solutions for nonhomogeneous heat conducting Navier-Stokes equations with large initial data and vacuum
• Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent magnetohydrodynamic equations with vacuum
• Strong solutions to the incompressible magnetohydrodynamic equations
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• Global strong solutions for 3D viscous incompressible heat conducting Navier‐Stokes flows with the general external force
• Global strong solutions to the 3D inhomogeneous heat-conducting incompressible fluids
• Oblique Derivative Problems for Elliptic Equations
• Variational Methods

This page was built for publication: Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum