The nonlinear 2D supercritical inviscid shallow water equations in a rectangle
arXiv:1503.00283 · doi:10.1007/s10884-015-9507-1
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.
30 pages