By | Mikyoung Lim | |
From | Centre de Mathématiques Appliquées, Ecole Polytechnique, Palaiseau, France |
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When | October 30, 2006 4:00 pm |
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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 |