A Variational Approach for the 2-Dimensional Semi-Geostrophic Shallow Water Equations
A Variational Approach for the 2-Dimensional Semi-Geostrophic Shallow Water Equations
复制标题
二维半地转浅水方程的变分法
DOI：
10.1007/s002050000124
复制
发表时间：
2001
影响因子：
2.5
通讯作者：
W. Gangbo
中科院分区：
文献类型：
--
作者：
M. Cullen;W. Gangbo
摘要：Benamou和Brenier [3]利用Monge输运理论证明了具有刚性边界的三维半地转方程弱解的存在性。本文将结果推广到一个更符合物理性质的自由表面边界条件。这种扩展目前仅适用于二维浅水情况。此外，我们建立了比[3]中可能的更强的时间规律性。
Abstract: Existence of weak solutions to the 3-D semi-geostrophic equations with rigid boundaries was proved by Benamou and Brenier [3], using Monge transport theory. This paper extends the results to a free surface boundary condition, which is more physically appropriate. This extension is at present for the 2-D shallow water case only. In addition, we establish stronger time regularity than was possible in [3].