Počet záznamů: 1
Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law
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SYSNO ASEP 0495258 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law Tvůrce(i) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Lu, Y. (CN)
Novotný, A. (FR)Zdroj.dok. Science China Mathematics. - : Zhongguo Kexue Zazhishe - ISSN 1674-7283
Roč. 61, č. 11 (2018), s. 2003-2016Poč.str. 14 s. Jazyk dok. eng - angličtina Země vyd. CN - Čína Klíč. slova Navier-Stokes equations ; hard-sphere pressure ; weak-strong uniqueness Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics Institucionální podpora MU-W - RVO:67985840 UT WOS 000447411300006 EID SCOPUS 85052921099 DOI 10.1007/s11425-017-9272-7 Anotace We consider the Navier-Stokes equations with a pressure function satisfying a hard-sphere law. That means the pressure, as a function of the density, becomes infinite when the density approaches a finite critical value. Under some structural constraints imposed on the pressure law, we show a weak-strong uniqueness principle in periodic spatial domains. The method is based on a modified relative entropy inequality for the system. The main difficulty is that the pressure potential associated with the internal energy of the system is largely dominated by the pressure itself in the area close to the critical density. As a result, several terms appearing in the relative energy inequality cannot be controlled by the total energy. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2019
Počet záznamů: 1