Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Ulrich Pinkall
Technische Universität Berlin
 
spricht am
 
Donnerstag, 7. Juni 2018
 
um
 
17:15 Uhr
 
im
 
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
 
über das Thema:
 

»A Weierstrass representation for 2D elasticity «

Abstract:
We study a class of elastic energy functionals for maps between planar domains (among them the so-called squared distance functional) whose critical points (elastic maps) allow a far more complete theory than one would expect from general elasticity theory. For some of these functionals elastic maps even admit a "Weierstrass representation" in terms of holomorphic functions, reminiscent of the one for minimal surfaces. We also prove a global uniqueness theorem that does not seem to be known in other situations.

 

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