Date: Monday, March 2, 2004 Time: 9:35 a.m. Room: LIT 109

Abstract: I shall first give a very brief survey of some aspects of homogenized or effective media theory, with particular emphasis on mixtures of low volume fraction. This will naturally lead to a discussion of associated polarization effects and their optimal bounds. As an important application I will then describe some recent results concerning inhomogeneity volume and location estimation.

Michael Vogelius is a Board of Governors Professor in the Mathematics Department of Rutgers University, New Brunswick, NJ , where he has been on the faculty since 1989. Prior to that he was a member of the faculty of the Mathematics Department at the University of Maryland, College Park, for seven years. Research interests lie in the areas of Mathematical Analysis, Partial Differential Equations and Numerical Analysis. He is famous, among other reasons, for his work which was central to the development of the theory of inverse problems. Two major recent themes have been Homogenization theories for Composite Media and Impedance and other forms of Tomography.

This featured lecture is being arranged in connection with the Mathematics Department's Special Year in Applied Mathematics. For more information see the website:
http://www.math.ufl.edu/special03.