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| | Project A2: Second order variational integrals with critical scaling | | | |
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.
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| | Project leaders | | | |
Prof. Dr. Ernst Kuwert
Mathematisches Institut
Albert-Ludwigs-Universität
Eckerstr. 1
D-79104 Freiburg im Breisgau
Germany
Tel. +49 761 203-5585
Fax +49 761 203-5541
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Prof. Dr. Reiner Schätzle
Mathematisches Institut
Universität Tübingen
Auf der Morgenstelle 10
D-72076 Tübingen
Germany
Tel. +49 7071 29-76885
Fax +49 7071 29-5036
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