ON SOME THEORETICAL AND NUMERICAL ASPECTS OF THE NEUMANN–KELVIN MODEL WITH CAPILLARITY IN HYDRODYNAMICS

DOI10.1142/S0219530510001679zbMath1426.76066MaRDI QIDQ3056265

Caroline Fabre, Philippe Destuynder, Olivier Wilk

Publication date: 11 November 2010

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear modelsspectral theorywave equationswater wavesinstabilities

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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High-order absorbing boundary condition, domain decomposition method and stratified dispersive wave model

Cites Work

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• Capillary gravity waves on the free surface of an inviscid fluid of infinite depth. Existence of solitary waves
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• Numerical simulation of the Benjamin-Feir instability and its consequences
• The disintegration of wave trains on deep water Part 1. Theory
• Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras

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