Homogenization of the evolutionary compressible Navier-Stokes-Fourier system in domains with tiny holes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10438421" target="_blank" >RIV/00216208:11320/21:10438421 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=skmCFTCbhk" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=skmCFTCbhk</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s41808-021-00124-x" target="_blank" >10.1007/s41808-021-00124-x</a>

Result language
angličtina
Original language name
Homogenization of the evolutionary compressible Navier-Stokes-Fourier system in domains with tiny holes
Original language description
We study the homogenization of the evolutionary compressible Navier--Stokes--Fourier system in a bounded three-dimensional domain perforated with a large number of very tiny holes. We show that under suitable assumptions on the smallness and distribution of the holes the limit system remains the same in the unperforated domain. One of the main novelty in the paper consists in the treatment of the entropy inequality and thus the paper also improves the related result in the steady case from the paper by Y. Lu and M. Pokorny.
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/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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