Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system

被引：0

作者：

Basaric, Danica ^{[1
]}

Chaudhuri, Nilasis ^{[2
]}

机构：

[1] Politecn Milan, Dept Math, Via E Bonardi 9, I-20133 Milan, Italy

[2] Univ Warsaw, Fac Math Informat & Mech, Ul Banacha 2, Warsaw, Poland

来源：

NONLINEARITY | 2024年 / 37卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

Navier-Stokes-Fourier system; low Mach number limit; homogenization; Oberbeck-Boussinesq approximation; INCOMPRESSIBLE LIMIT; VOLUME DISTRIBUTION; TINY HOLES; HOMOGENIZATION; EQUATIONS;

D O I：

10.1088/1361-6544/ad3da9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Navier-Stokes-Fourier system describing the motion of a compressible, viscous and heat-conducting fluid on a domain perforated by tiny holes. First, we identify a class of dissipative solutions to the Oberbeck-Boussinesq approximation as a low Mach number limit of the primitive system. Secondly, by proving the weak-strong uniqueness principle, we obtain strong convergence to the target system on the lifespan of the strong solution.

引用

页数：37

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