Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Analysis-Seminar Augsburg-München


Professor Dr. Antoine Lemenant
Université de Lorraine

spricht am
Donnerstag, 7. November 2019
15:00 Uhr
Raum 2004 (L1)
über das Thema:

»C1 regularity for the minimizers of the Griffith functional in 2D«

The 2D-Griffith energy coming from the variational model of crack propagation, takes into competition the elastic energy of a deformed body in a cracked domain, with the length of the unknown crack. From some aspects it looks like a vector valued version of the standard Mumford-Shah functional, but due to the elastic energy which controls only the symmetric part of the gradient, the analysis of minimizers for the Griffith functional, even just existence, is highly more difficult. In this talk I will review some of the most recent results about this functional, comparing with the standard Mumford-Shah theory. One of the main motivation of the talk being the partial C1 regularity result recently obtained in collaboration with J.-F. Babadjian and F. Iurlano (preprint 2019).


Hierzu ergeht herzliche Einladung.
Prof. Dr. Lisa Beck

[Impressum]      [Datenschutz],     Fr 11-Okt-2019 13:17:10 MESZ