Homogenization of degenerate coupled fluid flows and heat transport through porous media

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00306140" target="_blank" >RIV/68407700:21110/17:00306140 - isvavai.cz</a>
Výsledek na webu
<a href="http://www.sciencedirect.com/science/article/pii/S0022247X16304504" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0022247X16304504</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.08.041" target="_blank" >10.1016/j.jmaa.2016.08.041</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Homogenization of degenerate coupled fluid flows and heat transport through porous media
Popis výsledku v původním jazyce
We establish a homogenization result for a fully nonlinear degenerate parabolic system with critical growth arising from the heat and moisture flow through a partially saturated porous media. Existence of a global weak solution of the mesoscale problem is proven by means of a semidiscretization in time, a priori estimates and passing to the limit from discrete approximations. After that, porous material exhibiting periodic spatial oscillations is considered and the two-scale convergence (as the oscillation period vanishes) to a corresponding homogenized problem is rigorously proven.
Název v anglickém jazyce
Homogenization of degenerate coupled fluid flows and heat transport through porous media
Popis výsledku anglicky
We establish a homogenization result for a fully nonlinear degenerate parabolic system with critical growth arising from the heat and moisture flow through a partially saturated porous media. Existence of a global weak solution of the mesoscale problem is proven by means of a semidiscretization in time, a priori estimates and passing to the limit from discrete approximations. After that, porous material exhibiting periodic spatial oscillations is considered and the two-scale convergence (as the oscillation period vanishes) to a corresponding homogenized problem is rigorously proven.

Projekt
<a href="/cs/project/GA16-20008S" target="_blank" >GA16-20008S: Víceúrovňový popis chování raného betonu</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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