Analysis and Applied Mathematics Seminar
Romeo Awi
IMA
Uniqueness of minimizers in polyconvex problems: The limit cases.
Abstract: In elasticity theory, the energy functionals are convex functions of
the minors of the deformation gradient and thus are not expected to be
convex. In this case, the uniqueness of equilibrium configurations is a
challenging topic and has been linked to the fact that the potential
map transports Lebesgue measure into a measure absolutely continuous
with respect to Lebesgue measure. We will discuss limit cases where the
potential may be degenerate and we still have uniqueness under mild
regularity conditions on the maximizers of the dual problem.
Wednesday April 12, 2017 at 2:00 PM in SEO 1227