A model of a nonisothermal two-phase flow of compressible fluids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00572038" target="_blank" >RIV/67985840:_____/23:00572038 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mma.9059" target="_blank" >https://doi.org/10.1002/mma.9059</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.9059" target="_blank" >10.1002/mma.9059</a>

Result language
angličtina
Original language name
A model of a nonisothermal two-phase flow of compressible fluids
Original language description
We introduce a simple model of the time evolution of a binary mixture of compressible fluids including the thermal effects. Despite its apparent simplicity, the model is thermodynamically consistent admitting an entropy balance equation. We introduce a suitable weak formulation of the problem based on a combination of the entropy inequality with the total energy conservation principle. Finally, we show compactness of any bounded family of weak solutions and establish a global existence result.
Czech name
—
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/8J20FR007" target="_blank" >8J20FR007: Mathematics of diffuse interface models</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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