14.30-15.30 : Vito Crismale
Title : Existence and approximation of equilibrium configurations for epitaxially strained crystalline films
Abstract : In the realization of electronic device structures, thin layers of highly strained composites such as InGaAs/GaAs or SiGe/Si are deposited onto a substrate with different elastic stiffness. This process is said epitaxial growth of the film on the substrate. It is governed by the competition of the bulk elastic energy of the composite (due to the elastic misfit with the substrate) and its surface energy (localized on the free surface). I will present a work with M. Friedrich (University of Münster), in which we prove existence and approximation of equilibrium configurations for the corresponding energy introduced by Bonnetier and Chambolle in 2002, in any dimension and without any a priori regularity assumption on the displacement of the thin film. The analysis extends the available 2-dimensional results.
15.30-16.00 : Coffee break
16.00-17.00 : Michał Łasica (Warsaw)
Title : Existence of 1-harmonic map flow
Abstract : The talk will concern the functional of total variation of maps valued in a connected, complete Riemannian manifold. I will report on recent progress on the existence of steepest descent curves of this functional with respect to the L2 distance. The results are joint work with L. Giacomelli (Rome) and S. Moll (Valencia).
Heiner Olbermann
