Models for damped water wave
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Identificadores
URI: http://hdl.handle.net/10902/18268DOI: 10.1137/19M1262899
ISSN: 0036-1399
ISSN: 1095-712X
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2019Derechos
© Society for Industrial and Applied Mathematics
Publicado en
SIAM J. Appl. Math., 79(6), 2530-2550.
Editorial
Society for Industrial and Applied Mathematics
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Palabras clave
Water waves
Damping
Free boundary problems
Moving interfaces
Resumen/Abstract
In this paper we derive some new weakly nonlinear asymptotic models describing viscous waves in deep water with or without surface tension effects. These asymptotic models take into account several different dissipative effects and are obtained from the free boundary problems formulated in the works of Dias, Dyachenko, and Zakharov [Phys. Lett. A, 372 (2008), pp. 1297--1302], Jiang et al. [J. Fluid Mech., 329 (1996), pp. 275--307], and Wu, Liu and Yue [J. Fluid Mech., 556 (2006), pp. 45--54].
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