Incompressible Limit for Compressible Fluids with Stochastic Forcing

被引：22

作者：

Breit, Dominic ^{[1
]}

Feireisl, Eduard ^{[2
]}

Hofmanova, Martina ^{[3
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Inst Math AS CR, Zitna 25 CZ, Prague 11567 1, Czech Republic

[3] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2016年 / 222卷 / 02期

基金：

欧洲研究理事会;

关键词：

NAVIER-STOKES EQUATIONS; BANACH-SPACES; FLOWS;

D O I：

10.1007/s00205-016-1014-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of the isentropic Navier-Stokes system driven by a multiplicative stochastic forcing in the compressible regime, where the Mach number approaches zero. Our approach is based on the recently developed concept of a weak martingale solution to the primitive system, uniform bounds derived from a stochastic analogue of the modulated energy inequality, and careful analysis of acoustic waves. A stochastic incompressible Navier-Stokes system is identified as the limit problem.

引用

页码：895 / 926

页数：32

共 27 条

[1] A penalization method to take into account obstacles in incompressible viscous flows [J].