On local well-posedness of problems with characteristic free boundary for hyperbolic systems of conservation laws

Publication date: 15 November 2024

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

free boundary problem hyperbolic system of conservation laws characteristic boundary Nash-Moser method local existence and uniqueness theorem tame estimates secondary symmetrization loss of derivatives in a priori estimates non-ellipticity of the boundary symbol

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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On well-posedness of the plasma-vacuum interface problem: the case of non-elliptic interface symbol
Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation
A priori estimates for 3D incompressible current-vortex sheets
Stability of the linearized MHD-Maxwell free interface problem
Influence of vacuum electric field on the stability of a plasma-vacuum interface
On the well-posedness of a linearized plasma-vacuum interface problem in ideal compressible MHD
Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics
Well posedness for the motion of a compressible liquid with free surface boundary
The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
The boundary problems of physical geodesy
On the initial-boundary-value problem for the linearized equations of magnetohydrodynamics
Some properties of anisotropic Sobolev spaces
Local existence of MHD contact discontinuities
The initial boundary value problem for linear symmetric hyperbolic systems with boundary characteristic of constant multiplicity
Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
Initial boundary value problems for quasilinear symmetric hyperbolic systems with characteristic boundary
Nonlinear stability of MHD contact discontinuities with surface tension
Local well-posedness for the motion of a compressible gravity water wave with vorticity
Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension
Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics
Well-posedness of the linearized problem for MHD contact discontinuities
Well-posedness of the linearized plasma-vacuum interface problem
Existence of compressible current-vortex sheets: Variable coefficients linear analysis
Weak stability of the plasma-vacuum interface problem
On the Nash-Moser Iteration Technique
Compressible, inviscid Rayleigh-Taylor instability
Well-posedness of Compressible Euler Equations in a Physical Vacuum
Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
Local existence for the free boundary problem for nonrelativistic and Relativistic compressible Euler equations with a vacuum boundary condition
Hyperbolic systems of conservation laws II
Well-posedness of the free-surface incompressible Euler equations with or without surface tension
Nonlinear Stability of the Current‐Vortex Sheet to the Incompressible MHD Equations
STABILITY OF RELATIVISTIC PLASMA-VACUUM INTERFACES
Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
The stability of compressible vortex sheets in two space dimensions
Linear symmetric hyperbolic systems with characteristic boundary
Symmetrizations of RMHD equations and stability of relativistic current–vortex sheets
Well-Posedness for Moving Interfaces with Surface Tension in Ideal Compressible MHD
Stability of an incompressible plasma–vacuum interface with displacement current in vacuum
REGULARITY OF SOLUTIONS TO CHARACTERISTIC INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS
Well-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit
Initial boundary value problems for hyperbolic systems
ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS
Well-posedness of the plasma–vacuum interface problem
Symmetric hyperbolic linear differential equations
The Identity of Weak and Strong Extensions of Differential Operators
On vacuum free boundary problems in ideal compressible magnetohydrodynamics
Existence of multi‐dimensional contact discontinuities for the ideal compressible magnetohydrodynamics

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