Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier?Stokes system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00382804" target="_blank" >RIV/67985840:_____/12:00382804 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00021-011-0091-9" target="_blank" >http://dx.doi.org/10.1007/s00021-011-0091-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-011-0091-9" target="_blank" >10.1007/s00021-011-0091-9</a>

Result language
angličtina
Original language name
Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier?Stokes system
Original language description
We introduce the notion of relative entropy for the weak solutions to the compressible Navier?Stokes system. In particular, we show that any finite energy weak solution satisfies a relative entropy inequality with respect to any couple of smooth functions satisfying relevant boundary conditions. As a corollary, we establish the weak-strong uniqueness property in the class of finite energy weak solutions, extending thus the classical result of Prodi and Serrin to the class of compressible fluid flows.
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/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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