Thin domains with a highly oscillating boundary
Data: Or, Eka 12 2009
Lekua: Bizkaia Technology Park, Building 500 E-48160 DERIO - Basque Country- Spain
Hizlariak: José M. Arrieta
In this talk we will present several results concerning the behavior of the Laplace operator with Neumann boundary conditions in a thin domain where its boundary presents a highly oscillatory behavior. We will obtain the homogenized limit for the case where the oscillations are not necessarily periodic.
We will also indicate how this result can be applied to obtain results for nonlinear elliptic and parabolic problems.
José M. Arrieta