Well-posedness for a mixed problem for the equations of ideal magneto- hydrodynamics

DOI10.1007/BF01188574zbMath0819.35092MaRDI QIDQ1805504

Paolo Secchi

Publication date: 11 September 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

well-posedness in Hadamard's sense

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Magnetohydrodynamics and electrohydrodynamics (76W05) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (13)

A Framework on Moment Model Reduction for Kinetic Equation ⋮ On vacuum free boundary problems in ideal compressible magnetohydrodynamics ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Incompressible Limit of Ideal Magnetohydrodynamic Equations with a Perfectly Conducting Wall Condition ⋮ Nonlinear stability and existence of vortex sheets for inviscid liquid-gas two-phase flow ⋮ On the vortex sheets of compressible flows ⋮ Local well-posedness of the free-boundary problem in compressible resistive magnetohydrodynamics ⋮ A higher-order Hardy-type inequality in anisotropic Sobolev spaces ⋮ Initial boundary value problems for quasilinear symmetric hyperbolic systems with characteristic boundary ⋮ Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics ⋮ REGULARITY OF SOLUTIONS TO CHARACTERISTIC INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS ⋮ Well-posedness of characteristic symmetric hyperbolic systems ⋮ The research of Paolo Secchi

Cites Work

• Unnamed Item
• The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition
• The initial boundary value problem for the equations of ideal magneto- hydrodynamics
• Data dependence in the mathematical theory of compressible inviscid fluids
• On the equations of ideal incompressible magneto-hydrodynamics
• The trace theorem on anisotropic Sobolev spaces
• The initial boundary value problem for linear symmetric hyperbolic systems with characteristic boundary of constant multiplicity
• Regularity of solutions of hyperbolic mixed problems with characteristic boundary
• Perturbation theorems for linear hyperbolic mixed problems and applications to the compressible euler equations
• Perturbation theory and well-posedness in Hadamard's sense of hyperbolic initial-boundary value problems
• On an initial boundary value problem for the equations of ideal magneto‐hydrodynamics
• Linear symmetric hyperbolic systems with characteristic boundary

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