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On uniqueness of dissipative solutions to the isentropic Euler system
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SYSNO ASEP 0508339 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On uniqueness of dissipative solutions to the isentropic Euler system Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Ghoshal, S.S. (IN)
Jana, A. (IN)Source Title Communications in Partial Differential Equations. - : Taylor & Francis - ISSN 0360-5302
Roč. 44, č. 12 (2019), s. 1285-1298Number of pages 14 s. Language eng - English Country US - United States Keywords compressible fluid ; dissipative solution ; Euler system ; weak solution Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA18-05974S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000510846400002 EID SCOPUS 85068142846 DOI 10.1080/03605302.2019.1629958 Annotation The dissipative solutions can be seen as a convenient generalization of the concept of weak solution to the isentropic Euler system. They can be seen as expectations of the Young measures associated to a suitable measure-valued solution of the problem. We show that dissipative solutions coincide with weak solutions starting from the same initial data on condition that: (i) the weak solution enjoys certain Besov regularity, (ii) the symmetric velocity gradient of the weak solution satisfies a one-sided Lipschitz bound. 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/10.1080/03605302.2019.1629958
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