Citation
M. Cullen et W. Gangbo, A variational approach for the 2-dimensional semi-geostrophic shallow water equations, ARCH R MECH, 156(3), 2001, pp. 241-273
Citations number
20
Categorie Soggetti
Mathematics,"Mechanical Engineering
Journal title
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN journal
00039527
→ ACNP
Volume
156
Issue
3
Year of publication
2001
Pages
241 - 273
Database
ISI
SICI code
0003-9527(2001)156:3<241:AVAFT2>2.0.ZU;2-#
Abstract
Existence of weak solutions to the 3-D semi-geostrophic equations with rigi
d boundaries was proved by Benamou and Brenier [3], using Monge transport t
heory. This paper extends the results to a flee 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 regul
arity than was possible in [3].