Boundary layers and glancing blow-up in nonlinear geometric optics

DOI10.1016/S0012-9593(00)00116-6zbMath0962.35118OpenAlexW2048467954WikidataQ127316888 ScholiaQ127316888MaRDI QIDQ4502949

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Publication date: 22 November 2000

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2000_4_33_3_383_0

zbMATH Keywords

geometric optics expansionfirst-order semilinear hyperbolic boundary value problemsKreiss well-posed boundary problem

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Asymptotic expansions of solutions to PDEs (35C20) Initial-boundary value problems for first-order hyperbolic systems (35L50) Geometric optics (78A05)

Related Items (9)

Singular pseudodifferential operators, symmetrizers, and oscillatory multidimensional shocks ⋮ Semilinear boundary layers ⋮ Weakly Nonlinear Multiphase Geometric Optics for Hyperbolic Quasilinear Boundary Value Problems: Construction of a Leading Profile ⋮ Weak well-posedness of hyperbolic boundary value problems in a strip: when instabilities do not reflect the geometry ⋮ Geometric optics expansion for weakly well-posed hyperbolic boundary value problem: The glancing degeneracy ⋮ Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems ⋮ WKB EXPANSIONS FOR HYPERBOLIC BOUNDARY VALUE PROBLEMS IN A STRIP: SELFINTERACTION MEETS STRONG WELL-POSEDNESS ⋮ Nonlinear geometric optics for reflecting uniformly stable pulses ⋮ The hyperbolic region for hyperbolic boundary value problems

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