Analysis of non-isothermal multiphase flows in porous media

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F22%3A00357686" target="_blank" >RIV/68407700:21110/22:00357686 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mma.8328" target="_blank" >https://doi.org/10.1002/mma.8328</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.8328" target="_blank" >10.1002/mma.8328</a>

Result language
angličtina
Original language name
Analysis of non-isothermal multiphase flows in porous media
Original language description
We consider an initial-boundary value problem for a degenerate fully nonlinear parabolic system modeling coupled two-phase flow and heat transport through porous media. The two-phase fluid system consists of incompressible wetting phase and compressible nonwetting phase, such that the density of the nonwetting phase is a function of the phase pressure and temperature. To simplify the structure of the problem and overcome degeneracies in transport coefficients, the mathematical model is reformulated by using the feature of the so-called global pressure and the capillary pressure potential. Under physically relevant assumptions on the data of the problem and taking the initial conditions and mixed boundary conditions into consideration, we prove a global existence of a weak solution to this system on any physically relevant time interval.
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
10102 - Applied mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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