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.

引用

页码：683 / 696

页数：13

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