On existence, uniqueness and two-scale convergence of a model for coupled flows in heterogeneous media

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F21%3A00344341" target="_blank" >RIV/68407700:21110/21:00344341 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10440-020-00378-y" target="_blank" >https://doi.org/10.1007/s10440-020-00378-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10440-020-00378-y" target="_blank" >10.1007/s10440-020-00378-y</a>

Result language
angličtina
Original language name
On existence, uniqueness and two-scale convergence of a model for coupled flows in heterogeneous media
Original language description
This paper is concerned with the global existence, uniqueness and homog- enization of degenerate partial differential equations with integral conditions arising from coupled transport processes and chemical reactions in three-dimensional highly heterogeneous porous media. Existence of global weak solutions of the microscale problem is proved by means of semidiscretization in time deriving a priori estimates for discrete approximations needed for proofs of existence and convergence theo- rems. It is further shown that the solution of the microscale problem is two-scale convergent to that of the upscaled problem as the scale parameter goes to zero. In particular, we focus our efforts on the contribution of the so-called first order correc- tors in periodic homogenization. Finally, under additional assumptions, we consider the problem of the uniqueness of the solution to the homogenized problem.
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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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