Weak-strong uniqueness property for the full Navier-Stokes-Fourier system
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00376740" target="_blank" >RIV/67985840:_____/12:00376740 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00205-011-0490-3" target="_blank" >http://dx.doi.org/10.1007/s00205-011-0490-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00205-011-0490-3" target="_blank" >10.1007/s00205-011-0490-3</a>
Alternative languages
Result language
angličtina
Original language name
Weak-strong uniqueness property for the full Navier-Stokes-Fourier system
Original language description
The Navier-Stokes-Fourier system describing the motion of a compressible, viscous and heat conducting fluid is known to possess global-in-time weak solutions for any initial data of finite energy. We show that a weak solution coincides with the strong solution, emanating from the same initial data, as long as the latter exists. In particular, strong solutions are unique within the class of weak solutions.
Czech name
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Czech description
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Classification
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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Result continuities
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)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archive for Rational Mechanics and Analysis
ISSN
0003-9527
e-ISSN
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Volume of the periodical
204
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
24
Pages from-to
683-706
UT code for WoS article
000302738000009
EID of the result in the Scopus database
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