| Abstract: |
| The classification of singularities in both stationary as well as time dependent solutions of partial
differential equations is and has been throughout the last decades in the centre of mathematical
research. A natural question of course is, whether or not such singularities exist.
In the talk I will first present some well-known results in this direction in the context of geometric
evolution equations. We will then discuss some new results for the constrained Willmore
flow and - time permitting - similar equations in the context of the M\obius energy. Parts of them rely on the fact that every sphere eversions has a quadruple point and a new reverse isoperimetric inequality.
Our approach extends and simplifies results due to McCoy and Wheeler. |
|