2–5 Jul 2024
Osijek
Europe/Zagreb timezone

Homogenization result for two-phase two-component flow in porous media

5 Jul 2024, 11:30
20m
D9 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

D9

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek

Trg Ljudevita Gaja 6, Osijek
Talk PDE: Partial Differential Equations and Applications Partial Differential Equations and Applications

Speaker

Anja Vrbaški (Sveučilište u Zagrebu)

Description

We study the system of partial differential equations describing a two-phase two-component flow in heterogeneous porous media. The unknowns of the problem are global pressure, gas pseudo-pressure and capillary pseudo-pressure, artificial persistent variables that describe the flow both in the two-phase and single-phase regions and at the same time allow to decouple the starting equations. Under some realistic assumptions on the data, we rigorously obtain a nonlinear homogenized problem by using the two-scale convergence.

Primary authors

Anja Vrbaški (Sveučilište u Zagrebu) Ana Žgaljić Keko (University of Zagreb, Faculty of Electrical Engineering and Computing)

Presentation materials

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