Special Colloquium: Variational Methods in Materials and Imaging

Date: TUESDAY, MARCH 8,10:00 AM C-356



TIME: 10:00 AM

PLACE: C-356

Variational Methods in Materials and Imaging

Prof. Irene Fonseca

Mellon College of Science Professor of Mathematics_(CMU)

Director, Center for Nonlinear Analysis

Department of Mathematical Sciences

Carnegie Mellon University

Pittsburgh, PA 15213-3890

Abstract: Several questions in applied analysis motivated by issues in computer vision, physics, materials sciences and other areas of engineering may be treated variationally leading to higher order problems and to models involving lower dimension density measures. Their study often requires state-of-the-art techniques, new ideas, and the introduction of innovative tools in partial differential equations, geometric measure theory, and the calculus of variations. In this talk it will be shown how some of these questions may be reduced to well understand first order problems, while in others the higher order plays a fundamental role. Applications to phase transitions, to the equilibrium of foams under the action of surfactants, imaging, micromagnetics, thin films, and quantum dots will be addressed.

For more information:

1) Irene Fonseca __2006 AWM-SIAM Sonia Kovalevsky Lecture at the SIAM Annual Meeting

2) Mellon College of Science Professor of Mathematics_(CMU_++___________________________

3) Director of Center for Nonlinear Analysis



Science at the Triple Point Between Mathematics, Mechanics and Materials Science (Carnegie Mellon University) PIRE funding will enable PI Irene Fonseca and an international network of mathematicians from the United States, Belgium, United Kingdom, Germany and Italy to collaborate at the interface of mathematics and materials science and to develop sophisticated new methods for understanding the complexities of advanced materials. Graduate courses will be developed and U.S. students will strengthen their interdisciplinary and global research skills by conducting international research with multiple mentors and/or by participating in an international industrial research internship. Such international curriculum and student mobility will help internationalize U.S. institutions and place them in a vibrant international network of applied mathematicians.