Viscous cross-waves: An analytical treatment

DOI10.1063/1.857361zbMath0667.76059OpenAlexW2023356159WikidataQ58934338 ScholiaQ58934338MaRDI QIDQ3820219

Andrew J. Bernoff, Seth Lichter, L. P. Kwok

Publication date: 1989

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857361

zbMATH Keywords

matched asymptotic expansionsolvability conditionviscous boundary layersexcitation of cross-wavessemi-infinite box of finite depthwavemaker boundary condition

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Waves for incompressible viscous fluids (76D33) Basic methods in fluid mechanics (76M99)

Related Items

Subharmonic capillary–gravity waves in large containers subject to horizontal vibrations ⋮ Evolution equations for counterpropagating edge waves ⋮ Spanwise modal competition in cross-waves ⋮ Instability analysis of nonlinear surface waves in a circular cylindrical container subjected to a vertical excitation

Cites Work

• Theory of non-propagating surface-wave solitons
• The generation of cross-waves in a long deep channel by parametric resonance
• The damping of capillary–gravity waves at a rigid boundary
• Parametrically excited, progressive cross-waves
• The excitation of surface waves near a cut-off frequency
• On cross-waves
• The damping of surface gravity waves in a bounded liquid
• Edge waves on a sloping beach