On the motion of a heat conducting compressible fluid in moving domain with nonhomogeneous boundary

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00635701" target="_blank" >RIV/67985840:_____/25:00635701 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-031-86173-4_14" target="_blank" >http://dx.doi.org/10.1007/978-3-031-86173-4_14</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-86173-4_14" target="_blank" >10.1007/978-3-031-86173-4_14</a>

Result language
angličtina
Original language name
On the motion of a heat conducting compressible fluid in moving domain with nonhomogeneous boundary
Original language description
We consider a flow of heat conducting compressible fluid inside a moving domain whose shape in time is prescribed. The flow is governed by the 3-D Navier-Stokes-Fourier system where the velocity is supposed to fulfil the full-slip boundary condition and the temperature on the boundary is given by a nonhomogeneous Dirichlet condition. We establish the global-in-time weak solution to the system, and the approach is based on the penalization of the boundary behavior, viscosity and the pressure in the weak formulation. Moreover, to accommodate the nonhomogeneous boundary heat flux, we introduce the concept of ballistic energy in this work.
Czech name
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Czech description
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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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Numerical Mathematics and Advanced Applications ENUMATH 2023
ISBN
978-3-031-86172-7
ISSN
1439-7358
e-ISSN
2197-7100
Number of pages
10
Pages from-to
139-148
Publisher name
Springer
Place of publication
Cham
Event location
Lisbon
Event date
Sep 4, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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