THE INVERSE OF THE DIVERGENCE OPERATOR ON PERFORATED DOMAINS WITH APPLICATIONS TO HOMOGENIZATION PROBLEMS FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM

被引：27

作者：

Diening, Lars ^{[1
]}

Feireisl, Eduard ^{[2
]}

Lu, Yong ^{[3
]}

机构：

[1] Univ Osnabruck, Inst Math, Albrechtstr 28a, D-49076 Osnabruck, Germany

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

[3] Charles Univ Prague, Fac Math & Phys, Math Inst, Sokolovska 83, Prague 18675, Czech Republic

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2017年 / 23卷 / 03期

关键词：

Perforated domains; Bogovskii type operators; homogenization; compressible Navier-Stokes system; WEAK SOLUTIONS; EQUATIONS;

D O I：

10.1051/cocv/2016016

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study the inverse of the divergence operator on a domain Omega subset of R-3 perforated by a system of tiny holes. We show that such inverse can be constructed on the Lebesgue space L-p (Omega) for any 1 < p < 3, with a norm independent of perforation, provided the holes are suitably small and their mutual distance suitably large. Applications are given to problems arising in homogenization of steady compressible fluid flows.

引用

页码：851 / 868

页数：18

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