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Dissipative solutions and semiflow selection for the complete Euler system
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SYSNO ASEP 0524628 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Dissipative solutions and semiflow selection for the complete Euler system Tvůrce(i) Breit, D. (GB)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Hofmanová, M. (DE)Zdroj.dok. Communications in Mathematical Physics. - : Springer - ISSN 0010-3616
Roč. 376, č. 2 (2020), s. 1471-1497Poč.str. 27 s. Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova Euler system ; continuum fluid mechanics Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA18-05974S GA ČR - Grantová agentura ČR Způsob publikování Open access Institucionální podpora MU-W - RVO:67985840 UT WOS 000536053300016 EID SCOPUS 85078059145 DOI 10.1007/s00220-019-03662-7 Anotace To circumvent the ill-posedness issues present in various models of continuum fluid mechanics, we present a dynamical systems approach aiming at the selection of physically relevant solutions. Even under the presence of infinitely many solutions to the full Euler system describing the motion of a compressible inviscid fluid, our approach permits to select a system of solutions (one trajectory for every initial condition) satisfying the classical semiflow property. Moreover, the selection respects the well accepted admissibility criteria for physical solutions, namely, maximization of the entropy production rate and the weak–strong uniqueness principle. Consequently, strong solutions are always selected whenever they exist and stationary states are stable and included in the selection as well. To this end, we introduce a notion of dissipative solution, which is given by a triple of density, momentum and total entropy defined as expectations of a suitable measure-valued solution. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2021 Elektronická adresa https://doi.org/10.1007/s00220-019-03662-7
Počet záznamů: 1