Počet záznamů: 1
The existence of a weak solution for a compressible multicomponent fluid structure interaction problem
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SYSNO ASEP 0584372 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název The existence of a weak solution for a compressible multicomponent fluid structure interaction problem Tvůrce(i) Kalousek, Martin (MU-W) SAI, ORCID, RID
Mitra, Sourav (MU-W) SAI, ORCID
Nečasová, Šárka (MU-W) RID, SAI, ORCIDZdroj.dok. Journal de Mathematiques Pures et Appliquees. - : Elsevier - ISSN 0021-7824
Roč. 184, April (2024), s. 118-189Poč.str. 72 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova fluid-structure interaction ; two-fluid model ; global weak solutions Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA22-01591S GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 001206877700001 EID SCOPUS 85187641241 DOI 10.1016/j.matpur.2024.02.007 Anotace We analyze a system of PDEs governing the interaction between two compressible mutually noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain filled by the fluids. The dynamics of the fluids is modeled by a system resembling compressible Navier-Stokes equations with a physically realistic pressure depending on densities of both the fluids. The shell possesses a non-linear, non-convex Koiter energy. Considering that the densities are comparable initially we prove the existence of a weak solution until the degeneracy of the energy or the self-intersection of the structure occurs for two cases. In the first case the adiabatic exponents are assumed to satisfy max{γ,β}>2, min{γ,β}>0, and the structure involved is assumed to be non-dissipative. For the second case we assume the critical case max{γ,β}≥2 and min{γ,β}>0 and the dissipativity of the structure. The result is achieved in several steps involving, extension of the physical domain, penalization of the interface condition, artificial regularization of the shell energy and the pressure, the almost compactness argument, added structural dissipation and suitable limit passages depending on uniform estimates. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2025 Elektronická adresa https://doi.org/10.1016/j.matpur.2024.02.007
Počet záznamů: 1