On a bi-layer shallow-water problem

被引：11
作者：
Muñoz-Ruiz, ML
Chatelon, FJ
Orenga, P
机构：
[1] Univ Malaga, Dept Anal Matemat, E-29071 Malaga, Spain
[2] Univ Corse, Fac Sci & Tech, F-20250 Corte, Corse, France
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2003年 / 4卷 / 01期
关键词：
shallow-water equations; bi-layer model; nonlinear partial differential equations; A priori estimates; Sobolev and Orlicz spaces;
D O I：
10.1016/S1468-1218(02)00019-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove an existence and uniqueness result for a: bi-layer shallow water model in depth-mean velocity formulation. Some smoothness results for the solution are also obtained. In a previous work we proved the same results for a one-layer problem. Now the difficulty arises from the terms coupling the two layers. In order to obtain the energy estimate, we use a special basis which allows us to bound these terms. (C) 2002 Elsevier Science Ltd. All rights reserved.
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收藏
页码：139 / 171
页数：33
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