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A-free rigidity and applications to the compressible Euler system
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SYSNO ASEP 0476952 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A-free rigidity and applications to the compressible Euler system Tvůrce(i) Chiodaroli, E. (CH)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Kreml, Ondřej (MU-W) RID, SAI, ORCID
Wiedemann, E. (DE)Zdroj.dok. Annali di Matematica Pura ed Applicata. - : Springer - ISSN 0373-3114
Roč. 196, č. 4 (2017), s. 1557-1572Poč.str. 16 s. Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova A-free condition ; compressible Euler equations ; measure-valued solutions Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA13-00522S GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000406034400017 EID SCOPUS 85008500241 DOI 10.1007/s10231-016-0629-9 Anotace Can every measure-valued solution to the compressible Euler equations be approximated by a sequence of weak solutions? We prove that the answer is negative: generalizing a well-known rigidity result of Ball and James to a more general situation, we construct an explicit measure-valued solution for the compressible Euler equations which cannot be generated by a sequence of distributional solutions. We also give an abstract necessary condition for measure-valued solutions to be generated by weak solutions, relying on work of Fonseca and Müller. While a priori it is not unexpected that not every measure-valued solution arises from a sequence of weak solutions, it is noteworthy that this observation in the compressible case is in contrast to the incompressible situation, where every measure-valued solution can be approximated by weak solutions, as shown by Székelyhidi and Wiedemann. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2018
Počet záznamů: 1