Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity

被引：16
|
作者：
Rousseau, A [1 ]
Temam, R
Tribbia, J
机构：
[1] Univ Paris 11, Anal Numer Lab, F-91405 Orsay, France
[2] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA
[3] Natl Ctr Atmospher Res, Boulder, CO 80307 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 13卷 / 05期
关键词：
Nonviscous Primitive Equations; semi-group theory; well-posedness; limited domains; transparent boundary conditions;
D O I：
10.3934/dcds.2005.13.1257
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The linearized Primitive Equations with vanishing viscosity are considered. Some new boundary conditions (of transparent type) are introduced in the context of a modal expansion of the solution which consist of an infinite sequence of integral equations. Applying the linear semi-group theory, existence and uniqueness of solutions is established. The case with nonhomogeneous boundary values, encountered in numerical simulations in limited domains, is also discussed.
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页码：1257 / 1276
页数：20
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