The parametric approach to the Willmore flow

Abstract: We introduce a parametric framework for the study of Willmore gradient flows which enables to consider a general class of weak, energy-level solutions and opens the possibility to study energy quantization and finite-time singularities. In this first work we restricted to a small-energy regime and proved that, for small-energy weak immersions, the Cauchy problem in this class admits a unique solution.

analysis of PDEsdifferential geometry

Audience: researchers in the discipline

( paper )

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Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

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