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.
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页数：37
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