Mathematical analysis of fluids in motion: from well-posedness to model reduction

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189792" target="_blank" >RIV/00216208:11320/13:10189792 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s13163-013-0126-2" target="_blank" >http://dx.doi.org/10.1007/s13163-013-0126-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13163-013-0126-2" target="_blank" >10.1007/s13163-013-0126-2</a>

Result language
angličtina
Original language name
Mathematical analysis of fluids in motion: from well-posedness to model reduction
Original language description
This paper reviews some recent results on the Navier-Stokes-Fourier system governing the evolution of a general compressible, viscous, and heat conducting fluid. We discuss several concepts of weak solutions, in particular, using the implications of theSecond law of thermodynamics. We introduce the concept of relative entropy and dissipative solution and show the principle of weak-strong uniqueness. The second part of the paper is devoted to problems of model reduction and the related singular limits.Several examples of singular limits are presented: The incompressible limit, the inviscid limit, the low Rossby number limit and their combinations.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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