Homogenized models for diffusion processes in composite media with imperfect interfaces

Date/heure
2 juin 2017
11:00 - 12:00

Oratrice ou orateur
Claudia Timofte

Catégorie d'évènement
Séminaire EDP, Analyse et Applications (Metz)


Résumé

In this talk, we shall present some homogenization results, obtained via the periodic unfolding method, for thermal diffusion problems in a highly heterogeneous periodic composite material formed by two constituents, separated by an imperfect interface where the temperature and the flux exhibit jumps. Depending on the geometry of the composite medium, on the properties of its two constituents and on the magnitude of the jump of the solution and of the flux across the imperfect interface, various types of problems arise at the macroscale. These problems capture in various ways the influence of the jumps: in the effective coefficients, in the right-hand side of the homogenized problem, and in the correctors, as well. Joint work with Renata Bunoiu (Université de Lorraine – Metz, France)