A multicomponent flow model in deformable porous media
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F19%3A00338061" target="_blank" >RIV/68407700:21110/19:00338061 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mma.5482" target="_blank" >https://doi.org/10.1002/mma.5482</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.5482" target="_blank" >10.1002/mma.5482</a>
Alternative languages
Result language
angličtina
Original language name
A multicomponent flow model in deformable porous media
Original language description
We propose a model for multicomponent flow of immiscible fluids in a deformable porous medium accounting for capillary hysteresis. Oil, water, and air in the soil pores offer a typical example of a real situation occurring in practice. We state the problem within the formalism of continuum mechanics as a slow diffusion process in Lagrange coordinates. The balance laws for volumes, masses, and momentum lead to a degenerate parabolic PDE system. In the special case of a rigid solid matrix material and three fluid components, we prove under further technical assumptions that the system is mathematically well posed in a small neighborhood of an equilibrium.
Czech name
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Czech description
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Classification
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
10102 - Applied mathematics
Result continuities
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)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Methods in the Applied Sciences (MATH METHOD APPL SCI)
ISSN
0170-4214
e-ISSN
1099-1476
Volume of the periodical
42
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
1894-1906
UT code for WoS article
000463380900013
EID of the result in the Scopus database
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