On the hydrostatic and Darcy limits of the convective Navier-Stokes equations

被引：0
|
作者：
Yann Brenier
机构：
[1] Université de Nice (FR 2800 W. Döblin),U.M.R. CNRS 6621
[2] Institut Universitaire de France,undefined
来源：
Chinese Annals of Mathematics, Series B | 2009年 / 30卷
关键词：
Atmospheric sciences; Fluid mechanics; Asymptotic analysis; 86A10; 35Q35; 76B99; 86A05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The author studies two singular limits of the convective Navier-Stokes equations. The hydrostatic limit is first studied: the author shows the existence of global solutions with a convex pressure field and derives them from the convective Navier-Stokes equations as long as the pressure field is smooth and strongly convex. The (friction dominated) Darcy limit is also considered, and a relaxed version is studied.
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页码：683 / 696
页数：13
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