Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00548752" target="_blank" >RIV/67985840:_____/21:00548752 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s41808-021-00137-6" target="_blank" >https://doi.org/10.1007/s41808-021-00137-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s41808-021-00137-6" target="_blank" >10.1007/s41808-021-00137-6</a>

Result language
angličtina
Original language name
Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids
Original language description
Following Abbatiello et al. (DCCDS-A 41(1):1–28, 2020), we introduce dissipative turbulent solutions to a simple model of a mixture of two non interacting compressible fluids filling a bounded domain with general non zero inflow/outflow boundary conditions. We prove existence of such solutions for all adiabatic coefficients γ> 1 , their compatibility with classical solutions, the relative energy inequality, and the weak–strong uniqueness principle in this class. The class of dissipative turbulent solutions is so far the largest class of generalized solutions which still enjoys the weak–strong uniqueness property.
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/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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