| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841088 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 14 Pages |
Abstract
In this article, we study a viscous asymptotical model equation for water waves ut+ux−βutxx+ν(D12u+F−1(i∣ξ∣12sgn(ξ)û(ξ)))+γuux=0 proposed in Kakutani and Matsuuchi (1975) [6]. Theoretical questions including the existence and regularity of the solutions will be answered. Numerical simulations of its solutions will be carried out and the effects of various parameters will be investigated. We will also predict the decay rate of its solutions towards the equilibrium.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Min Chen, Serge Dumont, Olivier Goubet,