Inverse of Divergence and Homogenization of Compressible Navier-Stokes Equations in Randomly Perforated Domains

被引：8

作者：

Bella, Peter ^{[1
]}

Oschmann, Florian ^{[2
]}

机构：

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

[2] Akad Ved Ceske Republ, Matemat Ustav, Zitna 25, Prague 1, Czech Republic

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2023年 / 247卷 / 02期

关键词：

MINIMAL ASSUMPTIONS; VOLUME DISTRIBUTION; TINY HOLES; DECOMPOSITION; OPERATOR; SIZE;

D O I：

10.1007/s00205-023-01847-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the behavior of weak solutions to compressible viscous fluid flows in a bounded domain in R-3, randomly perforated by tiny balls with random size. Assuming the radii of the balls scale like epsilon(alpha), alpha > 3, with epsilon denoting the average distance between the balls, the problem homogenize to the same limiting equation. Our main contribution is a construction of the Bogovski(SIC) operator, uniformly in epsilon, without any assumptions on the minimal distance between the balls.

引用

页数：29

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