Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Vito Crismale
CMAP, École Polytechnique
 
spricht am
 
Donnerstag, 25. Januar 2018
 
um
 
15:45 Uhr
 
im
 
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
 
über das Thema:
 

»A density result in GSBDp with applications to the approximation of brittle fracture energies «

Abstract:
The seminar concerns the proof, obtained in collaboration with Antonin Chambolle, that any function in GSBDp is approximated by functions in SBV, bounded, whose jump is a finite union of smooth hypersurfaces. The approximation takes place in the sense of Griffith-type energies, the study of which motivates the definition of the space GSBDp, and it is also in Lp outside a sequence of sets whose measure tends to 0. I will describe also how to apply this density result to deduce Γ-convergence approximation à la Ambrosio-Tortorelli for Griffith-type energies with either Dirichlet boundary condition or a mild fidelity term, such that minimisers are a priori not even integrable.

 

Hierzu ergeht herzliche Einladung.


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