Homogenization of a locally periodic rough boundary via unfolding operators
Aiyappan Srinivasan,
TIFR-CAM
| Speaker |
Aiyappan Srinivasan,
TIFR-CAM
|
|---|---|
| When |
Jan 09, 2020
from 04:00 PM to 05:00 PM |
| Where | LH 006 |
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Abstract: 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 \(L^2\) convergence of the solutions and their flows, under natural hypothesis on the regularity of the domain using unfolding operators.