Global strong solutions to the 1-D compressible magnetohydrodynamic equations with zero resistivity

DOI10.1063/1.4906902zbMath1308.76321OpenAlexW2024754251MaRDI QIDQ5178192

Yuxi Hu, Jishan Fan

Publication date: 13 March 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4906902

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (13)

The sharp time-decay rates for one-dimensional compressible isentropic Navier-Stokes and magnetohydrodynamic flows ⋮ On the non-resistive limit and the magnetic boundary-layer for one-dimensional compressible magnetohydrodynamics ⋮ On the global solvability and the non-resistive limit of the one-dimensional compressible heat-conductive MHD equations ⋮ Global strong solutions to Cauchy problem of 1D non-resistive MHD equations with no vacuum at infinity ⋮ Global strong solution to the Cauchy problem of 1D compressible MHD equations with large initial data and vacuum ⋮ Global well-posedness to the one-dimensional model for planar non-resistive magnetohydrodynamics with large data and vacuum ⋮ Global existence of large solutions to the planar magnetohydrodynamic equations with zero magnetic diffusivity ⋮ On the vanishing limits of the resistivity coefficient for one-dimensional compressible MHD with vacuum ⋮ Global strong solutions to the one-dimensional heat-conductive model for planar non-resistive magnetohydrodynamics with large data ⋮ Global weak solutions and long time behavior for 1D compressible MHD equations without resistivity ⋮ On non-resistive limit of 1D MHD equations with no vacuum at infinity ⋮ Global weak solutions for the Cauchy problem to one-dimensional heat-conductive MHD equations of viscous non-resistive gas ⋮ Global large solutions to the planar magnetohydrodynamics equations with constant heat conductivity

Cites Work

• Unnamed Item
• Unnamed Item
• Singular limits of the equations of magnetohydrodynamics
• Global classical large solutions with vacuum to 1D compressible MHD with zero resistivity
• Stability of weak solutions to equations of magnetohydrodynamics with Lebesgue initial data
• On the incompressible limits for the full magnetohydrodynamics flows
• The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
• Vanishing shear viscosity limit in the magnetohydrodynamic equations
• Compactness of weak solutions to the three-dimensional compressible magnetohydrodynamic equations
• Global variational solutions to the compressible magnetohydrodynamic equations
• Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions
• Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
• Strong solution to the compressible magnetohydrodynamic equations with vacuum
• Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
• Global solutions of nonlinear magnetohydrodynamics with large initial data
• Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
• Uniqueness and continuous dependence of weak solutions in compressible magnetohydro\-dynamics
• Global Classical Large Solutions to Navier--Stokes Equations for Viscous Compressible and Heat-Conducting Fluids with Vacuum
• Low Mach number limit for the multi-dimensional full magnetohydrodynamic equations
• SINGULAR LIMIT OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS IN THE PRESENCE OF STRONG STRATIFICATION
• Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
• Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients

This page was built for publication: Global strong solutions to the 1-D compressible magnetohydrodynamic equations with zero resistivity