LOW MACH NUMBER LIMIT ON EXTERIOR DOMAINS

被引：3

作者：

Donatelli, Donatella ^{[1
]}

Marcati, Pierangelo ^{[1
]}

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 01期

关键词：

exterior domain; compressible and incompressible Navier-Stokes equation; low Mach number limit; hyperbolic equations; wave equations; rescaling; dispersive estimates; Strichartz estimates; SELF-GRAVITATING FLUIDS; NAVIER-STOKES SYSTEM; INCOMPRESSIBLE LIMIT; BOUNDARY-CONDITIONS; UNBOUNDED-DOMAINS; WEAK SOLUTIONS; WAVE-EQUATION; SPACE;

D O I：

10.1016/S0252-9602(12)60010-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the low Mach number limit for the compressible Navier-Stokes equations in an exterior domain. We present here an approach based on Strichartz estimate defined on a non trapping exterior domain and we will be able to show the compactness and strong convergence of the velocity vector field.

引用

页码：164 / 176

页数：13

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