On well-posedness of quantum fluid systems in the class of dissipative solutions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00573353" target="_blank" >RIV/67985840:_____/23:00573353 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1137/22M148985" target="_blank" >https://doi.org/10.1137/22M148985</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/22M148985X" target="_blank" >10.1137/22M148985X</a>

Result language
angličtina
Original language name
On well-posedness of quantum fluid systems in the class of dissipative solutions
Original language description
The main objects of the present work are the quantum Navier–Stokes and quantum Euler systems, for the first one, in particular, we will consider constant viscosity coefficients. We deal with the concept of dissipative solutions, for which we will first prove the weak-strong uniqueness principle, and afterward, we will show the global existence for any finite energy initial data. Finally, we will prove that both systems admit a semiflow selection in the class of dissipative solutions.
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/GA21-02411S" target="_blank" >GA21-02411S: Solving ill posed problems in the dynamics of compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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