Large Time existence For 1D Green-Naghdi equations
Analysis of PDEs
2009-09-14 v1
Abstract
We consider here the Green-Naghdi equations that are commonly used in coastal oceanography to describe the propagation of large amplitude surface waves. We show that the solution of the Green-Naghdi equations can be constructed by a standard Picard iterative scheme so that there is no loss of regularity of the solution with respect to the initial condition.
Keywords
Cite
@article{arxiv.0909.2232,
title = {Large Time existence For 1D Green-Naghdi equations},
author = {Samer Israwi},
journal= {arXiv preprint arXiv:0909.2232},
year = {2009}
}