Nonlinear geometric optics for reflecting uniformly stable pulses

DOI10.1016/j.jde.2013.06.001zbMath1295.35310arXiv1304.5285OpenAlexW2962695325MaRDI QIDQ2434378

Mark Williams, Jean-François Coulombel

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1304.5285

zbMATH Keywords

quasilinear equationsresonant interactionsreflection from obstaclesshort-wave asymptotic

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Geometric optics (78A05)

Related Items (4)

Weakly Nonlinear Multiphase Geometric Optics for Hyperbolic Quasilinear Boundary Value Problems: Construction of a Leading Profile ⋮ Geometric Optics for Surface Waves in Nonlinear Elasticity ⋮ Amplification of pulses in nonlinear geometric optics ⋮ Singular pseudodifferential calculus for wavetrains and pulses

Cites Work

• Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems
• Asymptotic solutions of oscillatory initial value problems
• Nonlinear geometric optics for short pulses
• Singular pseudodifferential operators, symmetrizers, and oscillatory multidimensional shocks
• Resonant Leading Order Geometric Optics Expansions for Quasilinear Hyperbolic Fixed and Free Boundary Problems
• A Theory for Spontaneous Mach Stem Formation in Reacting Shock Fronts, I. The Basic Perturbation Analysis
• Resonantly Interacting, Weakly Nonlinear Hyperbolic Waves. II. Several Space Variables
• Nonlinear geomettic optics for hyperbolic boundary problems
• Diffractive Nonlinear Geometric Optics for Short Pulses
• Boundary layers and glancing blow-up in nonlinear geometric optics
• The Block Structure Condition for Symmetric Hyperbolic Systems
• The stability of multidimensional shock fronts
• Coherent and focusing multidimensional nonlinear geometric optics
• WAVE TRANSMISSION IN DISPERSIVE MEDIA
• NONLINEAR ASYMPTOTICS FOR HYPERBOLIC INTERNAL WAVES OF SMALL WIDTH
• Initial boundary value problems for hyperbolic systems
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