Nonlinear geometric optics for shock waves. I: Scalar case

DOI10.4171/ZAA/780zbMath0882.35079MaRDI QIDQ1368785

Yaguang Wang

Publication date: 26 November 1997

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

zbMATH Keywords

shock frontone space variableoscillatory shock wave

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Geometric optics (78A05)

Related Items

Semilinear geometric optics for generalized solutions ⋮ Nonlinear geometric optics for two shock waves

Cites Work

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