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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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
id paper:paper_15393755_v71_n2_p_Borzi
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spelling paper:paper_15393755_v71_n2_p_Borzi2023-06-08T16:20:26Z Nonlinear dynamics of short traveling capillary-gravity waves 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 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. 2005 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
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 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
spellingShingle 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
Nonlinear dynamics of short traveling capillary-gravity waves
topic_facet 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
description 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.
title Nonlinear dynamics of short traveling capillary-gravity waves
title_short Nonlinear dynamics of short traveling capillary-gravity waves
title_full Nonlinear dynamics of short traveling capillary-gravity waves
title_fullStr Nonlinear dynamics of short traveling capillary-gravity waves
title_full_unstemmed Nonlinear dynamics of short traveling capillary-gravity waves
title_sort nonlinear dynamics of short traveling capillary-gravity waves
publishDate 2005
url 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
_version_ 1768543200538001408

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