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Singular limit for the compressible Navier-Stokes equations with the hard sphere pressure law on expanding domains
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SYSNO ASEP 0567597 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Singular limit for the compressible Navier-Stokes equations with the hard sphere pressure law on expanding domains Author(s) Kalousek, Martin (MU-W) SAI, ORCID, RID
Nečasová, Šárka (MU-W) RID, SAI, ORCIDArticle number 17 Source Title Journal of Mathematical Fluid Mechanics. - : Springer - ISSN 1422-6928
Roč. 25, č. 1 (2023)Number of pages 29 s. Language eng - English Country CH - Switzerland Keywords compressible Navier-Stokes equations ; expanding domain ; Hard-sphere pressure ; low Mach number limit 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 000913118300001 EID SCOPUS 85146277850 DOI 10.1007/s00021-022-00750-y Annotation The article is devoted to the asymptotic limit of the compressible Navier-Stokes system with a pressure obeying a hard–sphere equation of state on a domain expanding to the whole physical space R3. Under the assumptions that acoustic waves generated in the case of ill-prepared data do not reach the boundary of the expanding domain in the given time interval and a certain relation between the Reynolds and Mach numbers and the radius of the expanding domain we prove that the target system is the incompressible Euler system on R3. We also provide an estimate of the rate of convergence expressed in terms of characteristic numbers and the radius of domains. 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/10.1007/s00021-022-00750-y
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