Variational homogenization of some nonlinear Stokes problem
Edoardo Tolotti (University of Münster)
| Mon Oct 26, 14:40-16:10 (4 days from now) | |
| Lecture held in Room K3, Faculty of Mathematics and Physics, Charles University, Sokolovská 83 Prague 8.. |
Abstract: In this talk I will present the current progress of an ongoing joint project with R. Höfer and C. Zeppieri. We study the homogenization of nonlinear Stokes-type problems for incompressible fluids on randomly perforated domains. We assume minimal hypotheses on the obstacles distribution, allowing for clustering and overlapping of perforations. By means of a Γ-convergence result, we show that, similarly to the case of nonlinear Laplace problems, there is a critical scale of the obstacles for which an extra term appears in the limiting energy. This extra term may be interpreted as an effective drag term due to the homogenized presence of perforations.
MathematicsPhysics
Audience: researchers in the topic
Nečas Seminar on Continuum Mechanics
Series comments: This seminar was founded on December 14, 1966.
Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. Unless stated otherwise, we will meet on Mondays at 15:40 in the lecture hall K3 (2nd floor)
| Organizers: | Miloslav Feistauer, Petr Knobloch, Martin Kružík*, Šárka Nečasová* |
| *contact for this listing |