Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Sara Daneri
Universität Erlangen-Nürnberg

 
spricht am
 
Donnerstag, 23. November 2017
 
um
 
16:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Patterns formation for minimizers of a local/non-local interaction functional in general dimension«

Abstract:
In this talk we will consider a functional consisting of a perimeter term and a non-local term which are in competition. In the discrete setting such functional was introduced by Giuliani, Lebowitz, Lieb and Seiringer. For both the continuous and discrete problem, we show that the global minimizers are exact periodic stripes. One striking feature of the functionals is that the minimizers are invariant under a smaller group of symmetries than the functional itself. In the continuous setting, to our knowledge this is the first example of a model with local/nonlocal terms in competition such that the functional is invariant under permutation of coordinates and one can rigorously prove that the minimizers display a pattern formation which is one dimensional. Such behaviour for a smaller range of exponents in the discrete setting had been already shown, using different techniques, by Giuliani and Seiringer. This model has many similarities with the celebrated Ohta-Kawasaki functional. In particular, for the Ohta-Kawasaki functional, the minimality of periodic stripes is conjectured. This work is in collaboration with Eris Runa.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Lisa Beck
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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