Global smooth solutions of some quasilinear hyperbolic systems with large data

DOI10.5802/afst.947zbMath0978.35028OpenAlexW2332958738MaRDI QIDQ5928961

Frederic Poupaud

Publication date: 4 February 2002

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1999_6_8_4_649_0

zbMATH Keywords

Hamilton-Jacobi equationsmatrix-valued Riccati equation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (5)

Compatibility conditions to allow some large amplitude WKB analysis for Burger's type systems ⋮ GLOBAL CONTINUOUS SOLUTIONS FOR DIAGONAL HYPERBOLIC SYSTEMS WITH LARGE AND MONOTONE DATA ⋮ From gas dynamics to pressureless gas dynamics ⋮ Counter-examples to concentration-cancellation ⋮ UNIQUENESS RESULTS FOR DIAGONAL HYPERBOLIC SYSTEMS WITH LARGE AND MONOTONE DATA

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• Existence de solutions globales et régulières aux équations d'Euler pour un gaz parfait isentropique
• Solutions in the large for nonlinear hyperbolic systems of equations

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