Uniform Stability Estimates for Constant-Coefficient Symmetric Hyperbolic Boundary Value Problems

DOI10.1080/03605300600636804zbMath1133.35404arXivmath/0508376OpenAlexW2168866502MaRDI QIDQ5294652

Olivier Guès, Kevin Zumbrun, Mark Williams, Guy Metivier

Publication date: 25 July 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508376

zbMATH Keywords

uniform Lopatinski conditioncharacteristics of variable multiplicity

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (7)

On the L^2 well posedness of Hyperbolic Initial Boundary Value Problems ⋮ Existence of solutions for linear hyperbolic initial-boundary value problems in a rectangle ⋮ Loss of derivatives for hyperbolic boundary problems with constant coefficients ⋮ A Kreiss' Symmetrizer Domain Penalization Method ⋮ A well-posedness result of a characteristic hyperbolic mixed problem ⋮ On Hyperbolic Initial-Boundary Value Problems with a Strictly Dissipative Boundary Condition ⋮ Weakened well-posedness of a hyperbolic characteristic boundary value problem

Cites Work

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• Stability of Strong Discontinuities in Fluids and MHD
• Multidimensional viscous shocks II: The small viscosity limit
• The Block Structure Condition for Symmetric Hyperbolic Systems
• Stability of small amplitude boundary layers for mixed hyperbolic-parabolic systems
• Advances in the theory of shock waves

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