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].
Fuente: SIAM J. Appl. Math., 79(6), 2530-2550.
Editorial: Society for Industrial and Applied Mathematics
Año de publicación: 2019
Nº de páginas: 21
Tipo de publicación: Artículo de Revista
DOI: 10.1137/19M1262899
ISSN: 0036-1399,1095-712X
Proyecto español: MTM2017-82184-R
Url de la publicación: https://doi.org/10.1137/19M1262899