A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10189810" target="_blank" >RIV/00216208:11320/14:10189810 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00205-013-0697-6" target="_blank" >http://dx.doi.org/10.1007/s00205-013-0697-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00205-013-0697-6" target="_blank" >10.1007/s00205-013-0697-6</a>

Result language
angličtina
Original language name
A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system
Original language description
We show that any weak solution to the full Navier-Stokes-Fourier system emanating from the data belonging to the Sobolev space $W^{3,2}$ remains regular as long as the velocity gradient is bounded. The proof is based on the weak-strong uniqueness property and parabolic a priori estimates for the local strong solutions.
Czech name
—
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
—

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)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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