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DFG Research Group 469 - Project A.2: Second order variational integrals with critical scaling.

Description of the project:
Variational integrals involving second order derivatives occur both in geometry and in elasticity. In this project we consider energies with critical scaling, in particular the Willmore functional for surfaces in space and the biharmonic energy for maps between Riemannian manifolds. For the associated gradient flows and also for sequences of stationary solutions, singularities due to energy concentrations are possible. We are interested in understanding the formation of the singularities, and in finding natural conditions like energy bounds which guarantee regularity.

Additional information: http://home.mathematik.uni-freiburg.de/fg/projects/A2/
contact person: Prof. Dr. Ernst Kuwert
Phone: 0761/203-5585
Email: ernst.kuwert@math.uni-freiburg.de
Runtime:
Start of project: 01.05.2002
End of project: 31.12.2008
Project Management:
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
Financing:
  • DFG