The nonlinear 2D supercritical inviscid shallow water equations in a rectangle
Analysis of PDEs
2016-01-20 v1
Abstract
In this article we consider the inviscid two-dimensional shallow water equations in a rectangle. The flow occurs near a stationary solution in the so called supercritical regime and we establish short term existence of smooth solutions for the corresponding initial and boundary value problem.
Cite
@article{arxiv.1503.00283,
title = {The nonlinear 2D supercritical inviscid shallow water equations in a rectangle},
author = {Aimin Huang and Madalina Petcu and Roger Temam},
journal= {arXiv preprint arXiv:1503.00283},
year = {2016}
}
Comments
30 pages