Variational Methods in Materials and Imaging Problems
Irene Fonseca
Carnegie Mellon University
email: fonseca@andrew.cmu.edu
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. Applications to the equilibrium of foams under
the action of surfactants, imaging, micromagnetics and thin films will be
addressed.