Weakly Nonlinear Multiphase Geometric Optics for Hyperbolic Quasilinear Boundary Value Problems: Construction of a Leading Profile

DOI10.1137/21M1413596zbMath1497.35309arXiv2103.14305OpenAlexW3147409053WikidataQ115525511 ScholiaQ115525511MaRDI QIDQ5073752

Corentin Kilque

Publication date: 3 May 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14305

zbMATH Keywords

asymptotic expansioninitial boundary value problemWKB expansionweakly nonlinear analysishigh frequency limithighly oscillating forcing boundary termmultiple phases on the boundary

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Almost and pseudo-almost periodic solutions to PDEs (35B15) First-order nonlinear hyperbolic equations (35L60) A priori estimates in context of PDEs (35B45) Asymptotic expansions of solutions to PDEs (35C20) Resonance in context of PDEs (35B34) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (2)

Transverse instability of high frequency weakly stable quasilinear boundary value problems ⋮ Geometric optics expansion for weakly well-posed hyperbolic boundary value problem: The glancing degeneracy

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