Γ-convergence for nearly incompressible fluids

被引：3

作者：

Bella, Peter ^{[1
]}

Feireisl, Eduard ^{[2
]}

Oschmann, Florian ^{[2
]}

机构：

[1] TU Dortmund, Fak Math, Vogelpothsweg 87, D-44227 Dortmund, Germany

[2] Acad Sci Czech Republ, Inst Math, Zitna 25, CZ-11567 Prague 1, Czech Republic

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 09期

关键词：

NAVIER-STOKES EQUATIONS; VOLUME DISTRIBUTION; DOMAIN DEPENDENCE; TINY HOLES; HOMOGENIZATION;

D O I：

10.1063/5.0138650

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the time-dependent compressible Navier-Stokes equations in the low Mach number regime in a family of domains Omega(epsilon) c R-d converging in the sense of Mosco to a domain Omega R-epsilon(d), d is an element of {2, 3}. We show the limit is the incompressible Navier-Stokes system in Omega.

引用

页数：13

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