Stability of strong solutions to the Navier-Stokes-Fourier system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524481" target="_blank" >RIV/67985840:_____/20:00524481 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1137/18M1223022" target="_blank" >https://doi.org/10.1137/18M1223022</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/18M1223022" target="_blank" >10.1137/18M1223022</a>

Result language
angličtina
Original language name
Stability of strong solutions to the Navier-Stokes-Fourier system
Original language description
We identify a large class of objects dissipative measure-valued (DMV) solutions to the Navier-Stokes-Fourier system in which the strong solutions are stable. More precisely, a DMV solution coincides with the strong solution emanating from the same initial data as long as the latter exists. The DMV solutions are represented by parameterized families of measures satisfying certain compatibility conditions. They can be seen as an analogue to the dissipative measure-valued solutions introduced earlier in the context of the (inviscid) Euler system.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-05974S" target="_blank" >GA18-05974S: Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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