On the Controllability of the Hydrostatic Stokes Equations

被引：0
|
作者：
S. Guerrero
F. Guillén-González
机构：
[1] Université Pierre et Marie Curie-Paris 6,Departamento de Ecuaciones Diferenciales y Análisis Numérico
[2] UMR 7598 Laboratoire Jacques-Louis Lions,undefined
[3] Universidad de Sevilla,undefined
来源：
Journal of Mathematical Fluid Mechanics | 2008年 / 10卷
关键词：
Hydrostatic Stokes equations; controllability; Primary 35Q30; secondary 93B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to present some results on the controllability of the hydrostatic Stokes equations. The first main result of this paper states that the approximate null controllability of this system holds. This is proved whatever the boundary conditions are. Then, we extend this result to an exact null controllability result when the boundary conditions are ∂zu = 0 (the vertical derivative of the horizontal velocity) at the bottom.
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页码：402 / 422
页数：20
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