A discussion on Neumann–Kelvin's model for progressive water waves

DOI10.1080/00036811.2010.534726zbMath1336.76007OpenAlexW2070960176MaRDI QIDQ3096920

Philippe Destuynder, Caroline Fabre

Publication date: 15 November 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.534726

zbMATH Keywords

nonlinear modelspectral theorycapillarityinstabilities

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Stability and instability of geophysical and astrophysical flows (76E20)

Cites Work

• Unnamed Item
• Numerical simulation of gravity waves
• The q-analogue of the Laguerre polynomials
• Asymptotic nonlinear wave modeling through the Dirichlet-to-Neumann operator
• A modelling of springing, whipping and slamming for ships
• Solvability of the two-dimensional kelvin-neumann problem for a submerged circular cylinder
• Well-posedness of the water-waves equations

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