BCAM Seminar - Thin domains with highly oscillating boundaries

Thin domains with highly oscillating boundaries

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.