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On the low Mach number limit for the compressible Euler system
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SYSNO ASEP 0504564 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the low Mach number limit for the compressible Euler system Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Klingenberg, Ch. (DE)
Markfelder, S. (DE)Source Title SIAM Journal on Mathematical Analysis. - : SIAM Society for Industrial and Applied Mathematics - ISSN 0036-1410
Roč. 51, č. 2 (2019), s. 1496-1513Number of pages 18 s. Language eng - English Country US - United States Keywords low Mach number limit ; compressible Euler system ; measure-valued solution Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000466423200006 EID SCOPUS 85065463625 DOI 10.1137/17M1131799 Annotation In this paper, we propose a new approach to singular limits of inviscid fluid flows based on the concept of dissipative measure-valued solutions. We show that dissipative measure-valued solutions of the compressible Euler equations converge to the smooth solution of the incompressible Euler system when the Mach number tends to zero. This holds both for well-prepared and ill-prepared initial data, where in the latter case the presence of acoustic waves causes difficulties. However this effect is eliminated on certain unbounded domains and, in particular, on the whole space, thanks to dispersion. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2020 Electronic address http://dx.doi.org/10.1137/17M1131799
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