Large time wellposdness to the 3-D Capillary-Gravity Waves in the long wave regime
Analysis of PDEs
2015-05-19 v2
Abstract
In the regime of weakly transverse long waves, given long-wave initial data, we prove that the nondimensionalized water wave system in an infinite strip under influence of gravity and surface tension on the upper free interface has a unique solution on for some independent of constant We shall prove in the subsequent paper \cite{MZZ2} that on the same time interval, these solutions can be accurately approximated by sums of solutions of two decoupled Kadomtsev-Petviashvili (KP) equations.
Keywords
Cite
@article{arxiv.1008.1391,
title = {Large time wellposdness to the 3-D Capillary-Gravity Waves in the long wave regime},
author = {Mei Ming and Ping Zhang and Zhifei Zhang},
journal= {arXiv preprint arXiv:1008.1391},
year = {2015}
}
Comments
Split the original paper(The long wave approximation to the 3-D capillary-gravity waves) into two parts, this is the first one