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

Autor:	Milan Pokorný, Emil Skříšovský
Rok vydání:	2021
Předmět:	Physics Numerical Analysis Partial differential equation Applied Mathematics Mathematical analysis Homogenization (chemistry) Domain (mathematical analysis) symbols.namesake Distribution (mathematics) Fourier transform Bounded function symbols Compressibility Limit (mathematics) Analysis
Zdroj:	Journal of Elliptic and Parabolic Equations. 7:361-391
ISSN:	2296-9039 2296-9020
DOI:	10.1007/s41808-021-00124-x
Popis:	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 Lu and Pokorný (J Differ Equ 278:463–492, 2021).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cac807b5137f3486ca2dcdf0795e34dd https://doi.org/10.1007/s41808-021-00124-x Zobrazit plný text záznamu Full text from SpringerLink