Rarefaction and Shorck Waves for Multi-Dimensional Hyperbolic Conservation Laws

DOI10.1080/03605309108820764zbMath0733.35074OpenAlexW1972383049MaRDI QIDQ3360600

Dening Li

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/03605309108820764

zbMATH Keywords

shock waverarefaction waveNash-Moser iteration scheme

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (8)

Initial-boundary value problem for Euler equations with incompatible data ⋮ Generalised Riemann problem for Euler system ⋮ Compatibility of jump Cauchy data for non-isentropic Euler equations ⋮ Cauchy problem with general discontinuous initial data along a smooth curve for 2-d Euler system ⋮ Existence and Stability of Compressible and Incompressible Current-Vortex Sheets ⋮ On the initial-boundary value problem for the Euler equations in presence of a rarefaction wave ⋮ Solutions of the Cauchy problem for the 2-D Euler system with fan-shaped structure ⋮ The existence and stability of conic shock waves.

Cites Work

• The boundary problems of physical geodesy
• Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
• Interaction de Deux Chocs Pour un Systeme de Deux Lois de Conservation, en Dimension Deux D'Espace
• The inverse function theorem of Nash and Moser
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