Global well-posedness to the one-dimensional model for planar non-resistive magnetohydrodynamics with large data and vacuum
From MaRDI portal
Publication:1746669
DOI10.1016/j.jmaa.2018.02.047zbMath1390.35273OpenAlexW2790825707MaRDI QIDQ1746669
Publication date: 25 April 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.02.047
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Strong solutions to PDEs (35D35)
Related Items (8)
Global well-posedness for 2D non-resistive compressible MHD system in periodic domain ⋮ Vanishing resistivity limit of one-dimensional two-phase model with magnetic field ⋮ Global weak solutions to a two-dimensional compressible MHD equations of viscous non-resistive fluids ⋮ 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 to a 2D compressible non-resistivity MHD system with non-monotone pressure law and nonconstant viscosity ⋮ Global large solutions to the planar magnetohydrodynamics equations with constant heat conductivity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global classical large solutions with vacuum to 1D compressible MHD with zero resistivity
- Global small solutions of 2-D incompressible MHD system
- Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum
- Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion
- The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
- On the behavior of boundary layers of one-dimensional isentropic planar MHD equations with vanishing shear viscosity limit
- Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
- Global existence and uniqueness of strong solutions for the magnetohydrodynamic equations
- Global solution for a one-dimensional model problem in thermally radiative magnetohydrodynamics
- Global existence of strong solutions of the Navier-Stokes equations for isentropic compressible fluids with density-dependent viscosity
- 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
- Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
- Solvability in the large of a system of equations of the one- dimensional motion of an inhomogeneous viscous heat-conducting gas
- Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
- Global solutions of nonlinear magnetohydrodynamics with large initial data
- On the global solvability and the non-resistive limit of the one-dimensional compressible heat-conductive MHD equations
- Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics
- Global strong solutions to the 1-D compressible magnetohydrodynamic equations with zero resistivity
- Global weak solutions and long time behavior for 1D compressible MHD equations without resistivity
- Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
- On the non-resistive limit and the magnetic boundary-layer for one-dimensional compressible magnetohydrodynamics
- Le problème de Cauchy pour les équations différentielles d'un fluide général
- On the existence of globally defined weak solutions to the Navier-Stokes equations
This page was built for publication: Global well-posedness to the one-dimensional model for planar non-resistive magnetohydrodynamics with large data and vacuum
