On the Hydrostatic and Darcy Limits of the Convective Navier-Stokes Equations

被引：5

作者：

Brenier, Yann ^{[1
]}

机构：

[1] Univ Nice, UMR CNRS 6621, FR W Doblin 2800, Inst Univ France, F-06108 Nice 02, France

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2009年 / 30卷 / 06期

关键词：

Atmospheric sciences; Fluid mechanics; Asymptotic analysis; BOUSSINESQ EQUATIONS; DERIVATION; REGULARITY;

D O I：

10.1007/s11401-009-0197-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：14

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