31 May 2021 to 4 June 2021
Europe/Berlin timezone

Stochastic homogenization of some porous media models

3 Jun 2021, 14:40
1h
Poster (+) Presentation (MS6-A) Physics of multi-phase flow in diverse porous media Poster +

Speaker

Prof. Hakima Bessaih (University of Wyoming)

Description

We will be dealing with various models from porous media stemming from applications in filtration processes. Our models includes the reaction diffusion and the convection diffusion models coupled with a stochastic differential equation.
Our models are highly heterogeneous in time and space.
Our main result consists of deriving the macroscale equation. We show that the resulting macroscale equation is deterministic. The convergence analysis involves the cell problem and the invariant measure of the stochastic differential equation.

Time Block Preference Time Block A (09:00-12:00 CET)
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Primary author

Prof. Hakima Bessaih (University of Wyoming)

Co-authors

Dr Razvan Florian Maris (Alexandru Ioan Cuza University of Iasi) Prof. Yalchin Efendiev (Texas A&M)

Presentation materials

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