Low Mach Number Limits of Compressible Rotating Fluids

被引：9

作者：

Feireisl, Eduard ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2012年 / 14卷 / 01期

关键词：

Navier-Stokes system; incompressible limit; rotating fluid; WEAK SOLUTIONS; SCALE ANALYSIS; CONVECTION; EQUATIONS; DEEP;

D O I：

10.1007/s00021-010-0043-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the low Mach number limit for a compressible fluid rotating with a constant angular velocity in an exterior domain. The effect of Coriolis and centrifugal forces are taken into account, along with strong stratification due to the effect of gravitation. The anelastic approximation is identified as the limit problem. The main issue addressed in the paper is the interaction of the centrifugal force with acoustic waves.

引用

页码：61 / 78

页数：18

共 20 条

[1]

[Anonymous], APPL MATH SER

[2]

Cycon H.L., 1987, TEXTS MONOGRAPHS PHY

[3]

D. M. \E{\i\}u DUS, 1969, Uspehi Mat. Nauk, V24, P91

[4] ORDINARY DIFFERENTIAL-EQUATIONS, TRANSPORT-THEORY AND SOBOLEV SPACES [J].

DIPERNA, RJ ;

LIONS, PL .

INVENTIONES MATHEMATICAE, 1989, 98 (03) :511-547

[5] ON INCOMPRESSIBLE LIMITS FOR THE NAVIER-STOKES SYSTEM ON UNBOUNDED DOMAINS UNDER SLIP BOUNDARY CONDITIONS [J].

Donatelli, Donatella ;

Feireisl, Eduard ;

Novotny, Antonin .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2010, 13 (04) :783-798

[6] On integrability up to the boundary of the weak solutions of the Navier-Stokes equations of compressible flow [J].

Feireisl, E ;

Petzeltová, H .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (3-4) :755-767

[7] On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations [J].

Feireisl, Eduard ;

Novotny, Antonin ;

Petzeltova, Hana .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2001, 3 (04) :358-392

[8] Anelastic approximation as a singular limit of the compressible Navier-Stokes system [J].

Feireisl, Eduard ;

Malek, Josef ;

Novotny, Antonin ;

Straskraba, Ivan .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2008, 33 (01) :157-176

[9] Low Mach Number Limit for the Navier-Stokes System on Unbounded Domains Under Strong Stratification [J].

Feireisl, Eduard ;

Novotny, Antonin ;

Petzeltova, Hana .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2010, 35 (01) :68-88

[10] Scale-Dependent Models for Atmospheric Flows [J].

Klein, Rupert .

ANNUAL REVIEW OF FLUID MECHANICS, 2010, 42 :249-274

← 1 2 →