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
收藏
页码：164 / 176
页数：13
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