Asymptotics for a system of nonlinearly coupled wave equations with an application to the galloping oscillations of overhead transmission lines

DOI10.1090/QAM/998096zbMath0681.76063OpenAlexW2462412451MaRDI QIDQ4730938

Wim T. van Horssen

Publication date: 1989

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/998096

zbMATH Keywords

initial-boundary value problemwell-posednessaero- elastic analysisasymptotic theory for a class of initial-boundary value problemsformal approximations on long time scalesgalloping oscillations of overhead transmission linessystems of weakly and nonlinearly coupled wave equations

Mathematics Subject Classification ID

General aerodynamics and subsonic flows (76G25) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Resonance and near-resonance for a nonlinear wave equation ⋮ Asymptotics for a class of semilinear hyperbolic equations with an application to a problem with a quadratic nonlinearity

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