On uniqueness of dissipative solutions to the isentropic Euler system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00508339" target="_blank" >RIV/67985840:_____/19:00508339 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03605302.2019.1629958" target="_blank" >http://dx.doi.org/10.1080/03605302.2019.1629958</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03605302.2019.1629958" target="_blank" >10.1080/03605302.2019.1629958</a>

Result language
angličtina
Original language name
On uniqueness of dissipative solutions to the isentropic Euler system
Original language description
The dissipative solutions can be seen as a convenient generalization of the concept of weak solution to the isentropic Euler system. They can be seen as expectations of the Young measures associated to a suitable measure-valued solution of the problem. We show that dissipative solutions coincide with weak solutions starting from the same initial data on condition that: (i) the weak solution enjoys certain Besov regularity, (ii) the symmetric velocity gradient of the weak solution satisfies a one-sided Lipschitz bound.
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
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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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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