Harmonic stability of standing water waves

DOI10.1090/qam/1552zbMath1433.76021arXiv1903.05621OpenAlexW2921390211WikidataQ127241317 ScholiaQ127241317MaRDI QIDQ5218739

Jon Wilkening

Publication date: 5 March 2020

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

Full work available at URL: https://arxiv.org/abs/1903.05621

zbMATH Keywords

linear stabilityFloquet analysisgravity-capillary wavesmonodromy operatorFourier basisstanding water waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free-surface potential flows for incompressible inviscid fluids (76B07)

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Free surface in two-dimensional potential flow: singularities, invariants and virtual fluid ⋮ Superharmonic instability of stokes waves ⋮ On the structure of parasitic gravity-capillary standing waves in the small surface tension limit ⋮ Spatially quasi-periodic water waves of infinite depth ⋮ The essential spectrum of periodically stationary solutions of the complex Ginzburg-Landau equation

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