Resonant Leading Term Geometric Optics Expansions with Boundary Layers for Quasilinear Hyperbolic Boundary Problems

DOI10.1080/03605302.2014.966270zbMath1336.35218arXiv1207.3857OpenAlexW2964070079MaRDI QIDQ5246650

Matthew Hernandez

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/1207.3857

zbMATH Keywords

oscillationsprofilesevanescent waves

Mathematics Subject Classification ID

Initial-boundary value problems for first-order hyperbolic systems (35L50) Geometric optics (78A05)

Related Items (3)

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

Cites Work

• Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems
• Internal rectification for elastic surface waves
• Existence and stability of noncharacteristic boundary layers for the compressible Navier-Stokes and viscous MHD equations
• Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves
• Singular pseudodifferential operators, symmetrizers, and oscillatory multidimensional shocks
• Resonant Leading Order Geometric Optics Expansions for Quasilinear Hyperbolic Fixed and Free Boundary Problems
• The Block Structure Condition for Symmetric Hyperbolic Systems
• WAVE TRANSMISSION IN DISPERSIVE MEDIA

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