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Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent γ > 3
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SYSNO ASEP 0576363 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent γ > 3 Author(s) Oschmann, Florian (MU-W) SAI, ORCID
Pokorný, M. (CZ)Source Title Journal of Differential Equations. - : Elsevier - ISSN 0022-0396
Roč. 377, December (2023), s. 271-296Number of pages 26 s. Language eng - English Country NL - Netherlands Keywords Navier-Stokes-Fourier system ; compressible Navier-Stokes equations Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA22-01591S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 001124052400001 EID SCOPUS 85171188275 DOI 10.1016/j.jde.2023.08.040 Annotation We consider the unsteady compressible Navier-Stokes equations in a perforated three-dimensional domain, and show that the limit system for the diameter of the holes going to zero is the same as in the perforated domain provided the perforations are small enough. The novelty of this result is the lower adiabatic exponent γ>3 instead of the known value γ>6. The proof is based on the use of two different restriction operators leading to two different types of pressure estimates. We also discuss the extension of this result for the unsteady Navier-Stokes-Fourier system as well as the optimality of the known results in arbitrary space dimension for both steady and unsteady problems. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024 Electronic address https://doi.org/10.1016/j.jde.2023.08.040
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