Dissipative measure-valued solutions to the compressible Navier-Stokes system
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00465180" target="_blank" >RIV/67985840:_____/16:00465180 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00526-016-1089-1" target="_blank" >http://dx.doi.org/10.1007/s00526-016-1089-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00526-016-1089-1" target="_blank" >10.1007/s00526-016-1089-1</a>
Alternative languages
Result language
angličtina
Original language name
Dissipative measure-valued solutions to the compressible Navier-Stokes system
Original language description
We introduce a new concept of dissipative measure-valued solution to the compressible Navier-Stokes system satisfying, in addition, a relevant form of the total energy balance. Then we show that a dissipative measure-valued and a standard smooth classical solution originating from the same initial data coincide (weak-strong uniqueness principle) as long as the latter exists. Such a result facilitates considerably the proof of convergence of solutions to various approximations including certain numerical schemes that are known to generate a measure-valued solution. As a byproduct we show that any measure-valued solution with bounded density component that starts from smooth initial data is necessarily a classical one.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Calculus of Variations and Partial Differential Equations
ISSN
0944-2669
e-ISSN
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Volume of the periodical
55
Issue of the periodical within the volume
6
Country of publishing house
DE - GERMANY
Number of pages
20
Pages from-to
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UT code for WoS article
000390043500012
EID of the result in the Scopus database
2-s2.0-84994337374