Nonlinear dynamics of short traveling capillary-gravity waves
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
27/05/2014
27/05/2014
01/02/2005
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Resumo |
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. |
Identificador |
http://dx.doi.org/10.1103/PhysRevE.71.026307 Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 71, n. 2, 2005. 1539-3755 1550-2376 http://hdl.handle.net/11449/68124 10.1103/PhysRevE.71.026307 2-s2.0-41349092357 2-s2.0-41349092357.pdf |
Idioma(s) |
eng |
Relação |
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics |
Direitos |
closedAccess |
Palavras-Chave | #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 |
Tipo |
info:eu-repo/semantics/article |