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Weak solutions for a bifluid model for a mixture of two compressible noninteracting fluids with general boundary data
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SYSNO ASEP 0554415 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Weak solutions for a bifluid model for a mixture of two compressible noninteracting fluids with general boundary data Tvůrce(i) Kračmar, Stanislav (MU-W) SAI, ORCID, RID
Kwon, Y.-S. (KR)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Novotný, A. (FR)Zdroj.dok. SIAM Journal on Mathematical Analysis. - : SIAM Society for Industrial and Applied Mathematics - ISSN 0036-1410
Roč. 54, č. 1 (2022), s. 818-871Poč.str. 54 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova bifluid system ; Baer-Nunziato system ; compressible Navier-Stokes equations ; transport equation Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA19-04243S GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000762768000024 EID SCOPUS 85128914685 DOI 10.1137/21M1419246 Anotace We prove global existence of weak solutions for a version of the one velocity Baer--Nunziato system with dissipation describing a mixture of two noninteracting viscous compressible fluids in a piecewise regular Lipschitz domain with general inflow/outflow boundary conditions. The geometrical setting is general enough to comply with most current domains important for applications, such as (curved) pipes of piecewise regular and axis-dependent cross-sections. For the existence proof, we adapt to the system the classical Lions--Feireisl approach to the compressible Navier--Stokes equations which is combined with a generalization of the theory of renormalized solutions to the transport equations in the spirit of Vasseur, Wen, and Yu [J. Math. Pures Appl. (9), 125 (2019), pp. 247--282]. The results related to the families of transport equations presented in this paper extend/improve some statements of the theory of renormalized solutions and are therefore of independent interest. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2023 Elektronická adresa https://doi.org/10.1137/21M1419246
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