Homogenization of a Locally Periodic Rough Boundary
Aiyappan Srinivasan (T.I.F.R.-C.A.M., Bangalore, India)
15:00 horas
FM-101 (Universidad de Concepción)
Homogenization of a Locally Periodic Rough Boundary
In this talk, we will discuss the homogenization of a mixed boundary value problem for the Laplace operator in a domain with locally periodic oscillating boundary. The homogeneous Neumann condition is prescribed on the oscillating part of the boundary and the Dirichlet condition on a separate part. We will explain the homogenization results in the sense of weak L2 convergence of the solutions and their flows under natural hypothesis on the regularity of the domain using unfolding operators.