Mathematical Thermodynamics of Viscous Fluids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00483709" target="_blank" >RIV/67985840:_____/17:00483709 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-67600-5_2" target="_blank" >http://dx.doi.org/10.1007/978-3-319-67600-5_2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-67600-5_2" target="_blank" >10.1007/978-3-319-67600-5_2</a>

Result language
angličtina
Original language name
Mathematical Thermodynamics of Viscous Fluids
Original language description
This course is a short introduction to the mathematical theory of the motion of viscous fluids. We introduce the concept of weak solution to the Navier-Stokes-Fourier system and discuss its basic properties. In particular, we construct the weak solutions as a suitable limit of a mixed numerical scheme based on a combination of the finite volume and finite elements method. The question of stability and robustness of various classes of solutions is addressed with the help of the relative (modulated) energy functional. Related results concerning weak-strong uniqueness and conditional regularity of weak solutions are presented. Finally, we discuss the asymptotic limit when viscosity of the fluid tends to zero. Several examples of ill- posedness for the limit Euler system are given and an admissibility criterion based on the viscous approximation is proposed.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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