Nonlinear dynamics of short traveling capillary-gravity waves

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2-s2.0-41349092357.pdf (108.32 KB)

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2005-02-01

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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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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

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Inglês

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Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 71, n. 2, 2005.

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http://hdl.handle.net/11449/68124

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Artigos - Instituto de Física Teórica (IFT)