Low Mach Number Limit for the Navier-Stokes System on Unbounded Domains Under Strong Stratification

被引：14

作者：

Feireisl, Eduard ^{[1
]}

Novotny, Antonin ^{[2
]}

Petzeltova, Hana ^{[1
]}

机构：

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

[2] Univ Sud Toulon Var, Dept Math, La Garde, France

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 35卷 / 01期

关键词：

Dispersive estimates; Low Mach number limit; Stratified fluid; COMPRESSIBLE FLOWS; WEAK SOLUTIONS; EQUATION; EXTERIOR; WAVE;

D O I：

10.1080/03605300903279377

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the low Mach number singular limit problem for the Navier-Stokes system describing the motion of a compressible fluid under strong stratification in an exterior domain. It is shown that the limit problem is represented by the so-called anelastic approximation. In particular, strong (pointwise) convergence of the acoustic components of the velocity is established by means of an abstract result of Tosio Kato.

引用

页码：68 / 88

页数：21

共 22 条

[1]

[Anonymous], 1994, An introduction to the mathematical theory of the Navier-Stokes equations

[2]

Bogovskii M. E., 1980, Proc. Sobolev Sem., V1, P5

[3] An example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit [J].

Bresch, D ;

Gisclon, M ;

Lin, CK .

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2005, 39 (03) :477-486

[4]

Burq N, 2004, INDIANA U MATH J, V53, P1665

[5] Low Mach number limit of viscous compressible flows in the whole space [J].

Desjardins, B ;

Grenier, E .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 455 (1986) :2271-2279

[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]

Feireisl E, 2009, ADV MATH FLUID MECH, P1

[10]

Geissert M, 2006, OPER THEORY ADV APPL, V168, P113

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