Nonlinear geometric optics for contact discontinuities and shock waves in one-dimensional Euler system for gas dynamics

DOI10.1016/j.jde.2006.03.002zbMath1110.35044OpenAlexW2029558983MaRDI QIDQ855812

Yahong Peng, Ya-Guang Wang

Publication date: 7 December 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.03.002

zbMATH Keywords

contact discontinuityConservation lawsnonlinear geometric opticsone space variableoscillatory shock waveschock waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65) Geometric optics (78A05)

Related Items (2)

Two dimensional relativistic Euler equations in a convex duct ⋮ Reflection and refraction of shocks on an interface with a reflected rarefaction wave

Cites Work

• Sufficient conditions for local existence via Glimm's scheme for large BV data
• Nonlinear geometric optics for shock waves. II: System case
• Asymptotic analysis of contact discontinuities
• Resonant one dimensional nonlinear geometric optics
• Multiple highly oscillatory shock waves
• Interaction de Deux Chocs Pour un Systeme de Deux Lois de Conservation, en Dimension Deux D'Espace
• Nonlinear geometric optics for two shock waves
• The stability of multidimensional shock fronts
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonlinear geometric optics for contact discontinuities and shock waves in one-dimensional Euler system for gas dynamics