Rotating compressible fluids under strong stratification

被引：14

作者：

Feireisl, Eduard ^{[1
]}

Lu, Yong ^{[2
]}

Novotny, Antonin ^{[3
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Charles Univ Prague, Fac Math & Phys, Math Inst, Prague 18675 8, Czech Republic

[3] Univ Sud Toulon Var, EA 2134, IMATH, F-83957 La Garde, France

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 19卷

关键词：

LIMIT;

D O I：

10.1016/j.nonrwa.2014.02.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Navier-Stokes system written in the rotational frame describing the motion of a compressible viscous fluid under strong stratification. The asymptotic limit for low Mach and Rossby numbers and large Reynolds number is studied on condition that the Froude number characterizing the degree of stratification is proportional to the Mach number. We show that, at least for the well prepared data, the limit system is the same as for the problem without stratification-a variant of the incompressible planar Euler system. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：11 / 18

页数：8

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