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arXiv · 1503.00283

The nonlinear 2D supercritical inviscid shallow water equations in a rectangle

Aimin Huang·Madalina Petcu·Roger Temam
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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.

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Aimin Huang, Madalina Petcu, Roger Temam. 2015-03-01. The nonlinear 2D supercritical inviscid shallow water equations in a rectangle. https://doi.org/10.1007/s10884-015-9507-1

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