Mathematics

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Event Detail Information

Event Detail Information

Date Oct 24, 2013
Time 4:00 pm  
Location 245 Altgeld Hall
Sponsor Department of Mathematics
Contact Steve Bradlow
Event type colloquia
Views 1871
Liliana Borcea (University of Michigan) will present "The Dirichlet to Neumann map of high contrast media." Abstract: I will describe a problem of electrical conduction in a composite material consisting of highly conducting inclusions packed close together so they are close to touching. The mathematical model is an elliptic equation in divergence form, with a high contrast coefficient. I will describe the homogenization problem for this equation, but the goal is to get more detailed information in order to approximate the Dirichlet to Neumann map. I will show how to obtain such an approximation using variational principles and asymptotic analysis.