An asymptotic model for internal capillary-gravity waves in deep water
Analysis of PDEs
2020-04-28 v1 Fluid Dynamics
Abstract
Considered in this paper is a bi-directional model for the propagation of interfacial capillary-gravity waves in a two-layer system of fluids with rigid lid condition for the upper layer and lower layer with a much larger or infinite depth. The system is derived from a reformulation of the Euler equations for internal waves with nonnegligible surface tension effects in the interface and the corresponding asymptotic model under the Benjamin-Ono regime. Another unidirectional model, so-called regularized Benjamin equation, generalizing the Benjamin equation, is also introduced. Well-posedness of the new equations and existence of solitary wave solutions are discussed.
Cite
@article{arxiv.2004.11939,
title = {An asymptotic model for internal capillary-gravity waves in deep water},
author = {A. Durán},
journal= {arXiv preprint arXiv:2004.11939},
year = {2020}
}