Project A3 of SFB/Transregio 71: Topology of Partitioning Surfaces.

We consider surfaces which divide a given domain into two regions with prescribed volume fraction and minimize area under these constraints. For a relaxed version of the problem, we constructed minimizers which are finite unions of disks. Now we want to study their geometric properties in the case when the domain is convex.

Additional information: http://sfbtr71.de/
contact person: Prof. Dr. Ernst Kuwert
Phone: ++49 (0) 761 203-5585
Email: ernst.kuwert@math.uni-freiburg.de

Start of project: 2009
End of project: 2013

Albert-Ludwigs-University Freiburg
Prof. Dr. Ernst Kuwert
Abteilung für Reine Mathematik
Prof. Dr. Ernst Kuwert
Ernst-Zermelo-Straße 1
79104 Freiburg
Germany

Phone: +49 (0) 761 203-5585
Fax: +49 (0) 761 203-5541
Email: ernst.kuwert@math.uni-freiburg.de
http://home.mathematik.uni-freiburg.de/kuwert/
Actual Research Report

• DFG