Nonlinear geometric optics for shock waves. II: System case

DOI10.4171/ZAA/796zbMath0968.35076MaRDI QIDQ1381105

Yaguang Wang

Publication date: 29 April 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

shock frontone space variableboundary value problem of integrodifferential systemsoscillation shock wave

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 (6)

Nonlinear geometric optics for contact discontinuities and shock waves in one-dimensional Euler system for gas dynamics ⋮ Shock waves for the hyperbolic balance laws with discontinuous sources ⋮ Existence of solutions to an initial-boundary value problem of multidimensional radiation hydrodynamics ⋮ Unnamed Item ⋮ INITIAL-BOUNDARY VALUE PROBLEMS AND FORMATION OF SINGULARITIES FOR ONE-DIMENSIONAL NON-RELATIVISTIC RADIATION HYDRODYNAMIC EQUATIONS ⋮ Resonant Leading Order Geometric Optics Expansions for Quasilinear Hyperbolic Fixed and Free Boundary Problems

Cites Work

• Resonant nonlinear geometric optics for weak solutions of conservation laws
• Resonant one dimensional nonlinear geometric optics
• Hyperbolic systems of conservation laws II
• The existence of multidimensional shock fronts
• Resonant reflection of multidimensional semilinear oscillations
• Two‐Wave Interactions for Hyperbolic Signaling Problems and the Application to Supersonic Gas Dynamics
• The stability of multidimensional shock fronts
• Coherent and focusing multidimensional nonlinear geometric optics
• On Hyperbolic Partial Differential Equations
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