Variational methods in Material Science
timetable:
Thu 12 Oct, 9:00 - 9:55, Aula Dini
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seminar: A sharp-interface limit for the singularly perturbed Eikonal functional
speaker: Sergio Conti (Universität Bonn)abstract: (joint work with Camillo De Lellis)
The singularly perturbed Eikonal functional in two dimensions arises in the modeling of different physical problems, including liquid crystals blistering in thin films, convection patterns, and magnetism in thin films. From a mathematical viewpoint, it presents several difficulties arising from the interplay of the gradient structure with a connected, nonconvex zero-set of the leading order energy term. We present a construction for an optimal recovery sequence for all limit functions $u$ such that $\nabla u\in BV(\Omega;{\bf S}1)$. Together with previous work by several other authors, this permits to prove $\Gamma$-convergence for the same set of limiting functions.
timetable:
Thu 12 Oct, 9:00 - 9:55, Aula Dini
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