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Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains
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SYSNO ASEP 0584769 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains Tvůrce(i) Bhandari, Kuntal (MU-W) SAI, ORCID
Huang, B. (CN)
Nečasová, Šárka (MU-W) RID, SAI, ORCIDZdroj.dok. Mathematical Models and Methods in Applied Sciences. - : World Scientific Publishing - ISSN 0218-2025
Roč. 34, č. 4 (2024), s. 659-704Poč.str. 46 s. Jazyk dok. eng - angličtina Země vyd. SG - Singapur Klíč. slova compressible fluids ; Navier-Stokes-Fourier-Poisson system ; non-homogeneous boundary Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GC22-08633J GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 001189895800004 EID SCOPUS 85188740174 DOI 10.1142/S0218202524500118 Anotace In this paper, we consider the heat-conducting compressible self-gravitating fluids in time-dependent domains, which typically describe the motion of viscous gaseous stars. The flow is governed by the 3D Navier-Stokes-Fourier-Poisson equations where the velocity is supposed to fulfill the full-slip boundary condition and the temperature on the boundary is given by a non-homogeneous Dirichlet condition. We establish the global-in-time weak solution to the system. Our approach is based on the penalization of the boundary behavior, viscosity, and the pressure in the weak formulation. Moreover, to accommodate the non-homogeneous boundary heat flux, the concept of ballistic energy is utilized in this work. 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/10.1142/S0218202524500118
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