Local well‐posedness to the 2D Cauchy problem of nonhomogeneous heat‐conducting Navier–Stokes and magnetohydrodynamic equations with vacuum at infinity

DOI10.1002/mma.8065OpenAlexW4205421265MaRDI QIDQ6141509

Xin Zhong, Hong Chen

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8065

zbMATH Keywords

local well-posednessvacuum at infinity2D Cauchy problemnonhomogeneous heat-conducting MHD equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)

Cites Work

• Global solution to the 3D nonhomogeneous incompressible MHD equations with some large initial data
• The global wellposedness of the 3D heat-conducting viscous incompressible fluids with bounded density
• Strong solutions to the incompressible magnetohydrodynamic equations with vacuum
• Global strong solution to the 2D nonhomogeneous incompressible MHD system
• 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 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
• Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions
• Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients
• Global existence and large time behavior of strong solutions for 3D nonhomogeneous heat-conducting magnetohydrodynamic equations
• Local strong solution and blow-up criterion for the 2D nonhomogeneous incompressible fluids
• Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent magnetohydrodynamic equations with vacuum
• Global well-posedness to the 2D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum
• Strong solutions to the incompressible magnetohydrodynamic equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
• Global existence for the magnetohydrodynamic system in critical spaces
• Global strong solutions to the 3D inhomogeneous heat-conducting incompressible fluids
• Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
• Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum
• Strong solutions to the 2D Cauchy problem of nonhomogeneous magnetohydrodynamic equations with vacuum
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large oscillations and vacuum
• Unnamed Item
• Unnamed Item

This page was built for publication: Local well‐posedness to the 2D Cauchy problem of nonhomogeneous heat‐conducting Navier–Stokes and magnetohydrodynamic equations with vacuum at infinity