The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10334330" target="_blank" >RIV/00216208:11320/17:10334330 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1051/cocv/2016016" target="_blank" >http://dx.doi.org/10.1051/cocv/2016016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/cocv/2016016" target="_blank" >10.1051/cocv/2016016</a>

Result language
angličtina
Original language name
The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system
Original language description
We study the inverse of the divergence operator on a domain Omegain R3 perforated by a system of tiny holes. We show that such inverse can be constructed on the Lebesgue space Lp(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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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