A note on the stability and the bifurcation to periodic solutions for wave-hierarchy problems with dissipation

DOI10.1007/BF01190597zbMath0556.73020OpenAlexW1988589512MaRDI QIDQ761073

David John Needham, John H. Merkin

Publication date: 1984

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190597

zbMATH Keywords

basic uniform state is unstableequations for the wave-hierarchy problemslinearized stability condition remains unalteredparametrized by the propagation speedquasi-steady periodic staterestabiliseterm expressing dissipation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Bifurcations in context of PDEs (35B32) Waves in solid mechanics (74J99)

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Cites Work

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