Dissipative Boussinesq equations
经典物理
2020-02-20 v3 偏微分方程分析
可精确求解与可积系统
大气与海洋物理
摘要
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.
引用
@article{arxiv.physics/0703192,
title = {Dissipative Boussinesq equations},
author = {Denys Dutykh and Frédéric Dias},
journal= {arXiv preprint arXiv:physics/0703192},
year = {2020}
}
备注
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