Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary

DOI10.1007/s00033-013-0311-7zbMath1414.76090OpenAlexW2127245821MaRDI QIDQ390326

Changsheng Dou, Song Jiang, Qiang Chang Ju

Publication date: 8 January 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0311-7

zbMATH Keywords

global existencemagnetohydrodynamic equationsbounded domainlow Mach number limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Zero Mach number limit of the compressible Hall-magnetohydrodynamic equations, Global solutions to an initial boundary problem for the compressible 3D MHD equations with Navier-slip and perfectly conducting boundary conditions in exterior domains, Low Mach number limit for the compressible magnetohydrodynamic equations in a periodic domain, Low Mach number limit of the full compressible Hall-magnetohydrodynamic equation with general initial data, Global Strong and Weak Solutions to the Initial-Boundary-Value Problem of two-dimensional Compressible MHD System with Large Initial Data and Vacuum, Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data, The incompressible limit for compressible MHD equations in \(L^p\) type critical spaces, Global small solutions to a special \(2\frac{1}{2}\)-D compressible viscous non-resistive MHD system, Low Mach number limit of the compressible Hall-magnetohydrodynamic system, The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains, Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in 3D bounded domains, Singular limit of planar magnetohydrodynamic equations with vacuum free boundary, Global well-posedness and exponential decay rates of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with vacuum in some class of large initial data, Low Mach number limit of non-isentropic magnetohydrodynamic equations in a bounded domain, Global strong solution to the Cauchy problem of 1D compressible MHD equations with large initial data and vacuum, Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces, Global existence and low Mach number limit to a 3D compressible micropolar fluids model in a bounded domain, Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions, Asymptotic limit of compressible Hall-magnetohydrodynamic model with quantum effects, Incompressible limit of the compressible nematic liquid crystal flows in a bounded domain with perfectly conducting boundary, A blow-up criterion to the 2D full compressible magnetohydrodynamic equations, Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Incompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domains
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids
• 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
• Stable discretization of magnetohydrodynamics in bounded domains
• 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
• Incompressible limits of the Navier-Stokes equations for all time
• Incompressible limit for a viscous compressible fluid
• Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions
• Global solutions of nonlinear magnetohydrodynamics with large initial data
• Global low-energy weak solutions of the equations of three-dimensional compressible magnetohydrodynamics
• Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
• Low Mach number limit of the full Navier-Stokes equations
• Uniqueness and continuous dependence of weak solutions in compressible magnetohydro\-dynamics
• Low Mach number limit for the multi-dimensional full magnetohydrodynamic equations
• Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
• On Nonstationary Motion of a Compressible Barotropic Viscous Fluid with Boundary Slip Condition
• Low Mach number limit of viscous compressible flows in the whole space
• On the stability of approximate solutions of hyperbolic-parabolic systems and the all-time existence of smooth, slightly compressible flows
• Low Mach Number Limit of Viscous Polytropic Flows: Formal Asymptotics in the Periodic Case
• Low Mach number limit for viscous compressible flows
• GLOBAL WEAK SOLUTIONS OF AN INITIAL BOUNDARY VALUE PROBLEM FOR SCREW PINCHES IN PLASMA PHYSICS
• The Incompressible Limits of Viscous Polytropic Fluids with Zero Thermal Conductivity Coefficient
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Singular limits in thermodynamics of viscous fluids
• On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
• On the existence of globally defined weak solutions to the Navier-Stokes equations