Dissipative Boussinesq equations
Classical Physics
2020-02-20 v3 Analysis of PDEs
Exactly Solvable and Integrable Systems
Atmospheric and Oceanic Physics
Abstract
The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which include the effects of weak dispersion and nonlinearity in a shallow water framework. The dissipative Boussinesq equations are then integrated numerically.
Keywords
Cite
@article{arxiv.physics/0703192,
title = {Dissipative Boussinesq equations},
author = {Denys Dutykh and Frédéric Dias},
journal= {arXiv preprint arXiv:physics/0703192},
year = {2020}
}
Comments
40 pages, 15 figures, published in C. R. Mecanique 335 (2007) Other author's papers can be downloaded at http://www.cmla.ens-cachan.fr/~dutykh