The modulation equations of nonlinear geometric optics

DOI10.1080/03605309608821220zbMath0867.35061OpenAlexW2089320272MaRDI QIDQ4892748

Christophe Cheverry

Publication date: 18 September 1996

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

Full work available at URL: https://eudml.org/doc/221878

zbMATH Keywords

high frequency waves

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for first-order hyperbolic systems (35L45) Geometric optics (78A05)

Related Items

Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws, WAVE TRANSMISSION IN DISPERSIVE MEDIA, Justification of nonlinear geometric optics for a system of conservation laws, Diffractive wave transmission in dispersive media, BLOW UP AT THE HYPERBOLIC BOUNDARY FOR A 2 × 2 SYSTEM ARISING FROM CHEMICAL ENGINEERING, Global entropy solutions to weakly nonlinear gas dynamics, Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws, Systèmes de lois de conservation et stabilité BV

Cites Work

• Unnamed Item
• A nonlinear instability for \(3\times 3\) systems of conservation laws
• Resonant nonlinear geometric optics for weak solutions of conservation laws
• Breakdown of the solution to a completely exceptional system of hyperbolic equations
• Hyperbolic systems of conservation laws II
• A Canonical System of lntegrodifferential Equations Arising in Resonant Nonlinear Acoustics
• Solutions in the large for nonlinear hyperbolic systems of equations