Seminar: The mathematical theory of Homogenization

The theory of Homogenization is about trying to understand relations between macroscopic and microscopic scales. More precisely, one is interested in recovering equations satisfied by macroscopic quantities from those satisfied by the physical quantities.

Mainly we will deal with the homogenization or upscaling of elliptic or parabolic partial differential equations with rapidly varying coefficients. In all problems considered existence of solutions for the microscopic problems is known. The difficulty is the derivation of equations for the averaged quantities. Here special notions of convergences like the two-scale convergence introduced by Nguetseng and Allaire, H-convergence and Gamma-convergence come into play, as well as the method of asymptotic expansion. There will be weekly presentations on selected papers. The seminar is addressed to graduate students planning a deep in the area of pure or applied analysis, Ph.D. students and everybody who is just interested in. Feel very welcome to participate.

Date and time info
Thursday, 13:30 - 15:00 h