Nonlinear dynamics of short traveling capillary-gravity waves

We establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-wave dynamics, we show that this system possesses (1 + 1) traveling-wave solutions for almost all the values of the Bond number θ (the special...

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Guardado en:
Detalles Bibliográficos
Publicado: 2005
Materias:
Chiral
Defect structures
Splay
Suspended films
Crystal defects
Crystal orientation
Distortion (waves)
Elasticity
Ions
Laplace transforms
Light polarization
Mathematical models
Suspensions (fluids)
Thin films
Viscosity of liquids
Smectic liquid crystals
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v71_n2_p_Borzi
http://hdl.handle.net/20.500.12110/paper_15393755_v71_n2_p_Borzi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-wave dynamics, we show that this system possesses (1 + 1) traveling-wave solutions for almost all the values of the Bond number θ (the special case θ=1/3 is not studied). These waves become singular when their amplitude is larger than a threshold value, related to the velocity of the wave. The limit angle at the crest is then calculated. The stability of a wave train is also studied via a Benjamin-Feir modulational analysis. ©2005 The American Physical Society.

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