Colorado State University

Gradient Estimates for Solutions to the Conductivity Problem

By Mikyoung Lim
From Centre de Mathématiques Appliquées,
Ecole Polytechnique, Palaiseau, France
When October 30, 2006
4:00 pm
Where Room WB202, Weber Building
Abstract We establish upper and lower bounds on the gradient of solutions to the conductivity problem in the case where two circular conductivity inclusions in two dimensions, or spherical inclusions in three dimensional case, are very close but not touching. These bounds depend on the conductivities of the inclusions, their radii, and the distance between them. Their novelty is that they give very specific information about the blow up of the gradient as the conductivities of the inclusions degenerate.
Further Information Simon Tavener
There will be Refreshments in WB 117 at 3.30pm
The Colloquium counts as Seminar Credit for Mathematics Students.