Ημερομηνία: Παρασκευη 25 Οκτωβρίου 2024
Ώρα: 15:00
Τόπος: Α21
Oμιλητής: Dr.Dimitri Gazoulis ( PostDoc EKPA)
Τίτλος: Mini courses on Homogenization Part I: Γ-convergence, G-convergence and their relation
Περίληψη: We briefly introduce the notion of Γ-convergence and it's main properties together with two basic examples. The first example is the Γ-limit of the Modica-Mortola functional which relates phase transition type problems with minimal surfaces. The second, is an example from homogenization. Then, we introduce the notion of G-convergence for elliptic equations in divergence form and we state the homogenization theorem of G-convergence for elliptic operators. Finally, we illustrate the relationship between G-convergence with Γ-convergence and the second example stated in the beginning allow us to compare the G-limit with the weak* L^{\infty} limit.