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Low Mach and thin domain limit for the compressible Euler system
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SYSNO ASEP 0543472 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Low Mach and thin domain limit for the compressible Euler system Author(s) Caggio, Matteo (MU-W) SAI, RID
Ducomet, B. (FR)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Tang, T. (CN)Source Title Annali di Matematica Pura ed Applicata. - : Springer - ISSN 0373-3114
Roč. 200, č. 4 (2021), s. 1469-1486Number of pages 18 s. Language eng - English Country DE - Germany Keywords compressible Euler equations ; dissipative measure-valued solutions ; low Mach number ; thin domain Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000578496800001 EID SCOPUS 85092479839 DOI 10.1007/s10231-020-01045-7 Annotation We consider the compressible Euler system describing the motion of an ideal fluid confined to a straight layer Ωδ=(0,δ)×R2,δ>0. In the framework of dissipative measure-valued solutions, we show the convergence to the strong solution of the 2D incompressible Euler system when the Mach number tends to zero and δ→ 0. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://doi.org/10.1007/s10231-020-01045-7
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