Special Colloquium: Variational Methods in Materials and Imaging
DATE: TUESDAY, MARCH Â 8, 2011
TIME: 10:00 AM
Variational Methods in Materials and Imaging
Prof.Â Irene Fonseca
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:
3) Director of Center for Nonlinear Analysis
4) CMU-NYU-CALTECH (NSF-PIRE) http://www.math.cmu.edu/PIRE/index.html
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.