Weak solutions to the full Navier-Stokes-Fourier system with slip boundary conditions in time dependent domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00483129" target="_blank" >RIV/67985840:_____/18:00483129 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.matpur.2017.09.013" target="_blank" >http://dx.doi.org/10.1016/j.matpur.2017.09.013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matpur.2017.09.013" target="_blank" >10.1016/j.matpur.2017.09.013</a>

Result language
angličtina
Original language name
Weak solutions to the full Navier-Stokes-Fourier system with slip boundary conditions in time dependent domains
Original language description
We consider the compressible Navier–Stokes–Fourier system on time-dependent domains with prescribed motion of the boundary, supplemented with slip boundary conditions for the velocity. Assuming that the pressure can be decomposed into an elastic part and a thermal part, we prove global-in-time existence of weak solutions. Our approach is based on the penalization of the boundary behavior, viscosity, and the pressure in the weak formulation. Moreover, the thermal energy equation is in the weak formulation replaced by the thermal energy inequality complemented with the global total energy inequality. In the approximation scheme the thermal energy inequality is considered to be satisfied in the renormalized sense.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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