Global weak solutions and long time behavior for 1D compressible MHD equations without resistivity

DOI10.1063/1.5082758zbMath1416.76345arXiv1710.08248OpenAlexW2963936877WikidataQ127436110 ScholiaQ127436110MaRDI QIDQ5228049

Yang Li, Yongzhong Sun

Publication date: 8 August 2019

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

Full work available at URL: https://arxiv.org/abs/1710.08248

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Related Items (14)

Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain ⋮ Global small solutions to the 3D compressible viscous non-resistive MHD system ⋮ Global smooth solutions to the 3D compressible viscous non-isentropic magnetohydrodynamic flows without magnetic diffusion ⋮ Stability near equilibrium to the full compressible magnetohydrodynamic equations ⋮ Large time behavior for a compressible two-fluid model with algebraic pressure closure and large initial data ⋮ Large time behavior of strong solutions to the 1D non-resistive full compressible MHD system with large initial data ⋮ 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 weak solutions to a 2D compressible non-resistivity MHD system with non-monotone pressure law and nonconstant viscosity ⋮ On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids ⋮ Global weak solutions for the Cauchy problem to one-dimensional heat-conductive MHD equations of viscous non-resistive gas ⋮ On Global-in-Time Weak Solutions to a Two-Dimensional Full Compressible NonResistive MHD System ⋮ Global well-posedness for the three-dimensional full compressible viscous non-resistive MHD system

Cites Work

• Unnamed Item
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• Unnamed Item
• Some uniform estimates and large-time behavior of solutions to one-dimensional compressible Navier-Stokes system in unbounded domains with large data
• Global classical large solutions with vacuum to 1D compressible MHD with zero resistivity
• Global small solutions of 2-D incompressible MHD system
• Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion
• Stability of weak solutions to equations of magnetohydrodynamics with Lebesgue initial data
• The stability of one dimensional stationary flows of compressible viscous fluids
• The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
• Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
• Long time behavior for one-dimensional motion of a general barotropic viscous fluid
• 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
• Cauchy problem for the equation of gasdynamics with viscosity
• On equations for one-dimensional motion of a viscous barotropic gas in the presence of a body force
• Solvability in the large of a system of equations of the one- dimensional motion of an inhomogeneous viscous heat-conducting gas
• Asymptotic behaviour of the density for one-dimensional Navier-Stokes equations
• Global solutions of the equations of one-dimensional, compressible flow with large data and forces, and with differing end states
• Large-time behavior of solutions to the equations of a one-dimensional viscous polytropic ideal gas in unbounded domains
• On stability of generalized solutions to the equations of one-dimensional motion of a viscous heat conducting gas
• On a decay rate for 1D-viscous compressible barotropic fluid equations.
• Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids
• Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas
• On the dynamical stability and instability of parker problem
• Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
• On the global solvability and the non-resistive limit of the one-dimensional compressible heat-conductive MHD equations
• Global solutions of the compressible navier-stokes equations with larger discontinuous initial data
• Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems
• Global well-posedness of the Cauchy problem for the equations of a one-dimensional viscous heat-conducting gas with Lebesgue initial data
• Global strong solutions to the 1-D compressible magnetohydrodynamic equations with zero 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
• Linearized Analysis of One-Dimensional Magnetohydrodynamic Flows
• On the existence of globally defined weak solutions to the Navier-Stokes equations

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