Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00584769" target="_blank" >RIV/67985840:_____/24:00584769 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1142/S0218202524500118" target="_blank" >https://doi.org/10.1142/S0218202524500118</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218202524500118" target="_blank" >10.1142/S0218202524500118</a>

Result language
angličtina
Original language name
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GC22-08633J" target="_blank" >GC22-08633J: Qualitative Theory of the MHD and Related Equations</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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