Arnold Reusken (RWTH Aachen University)

Title: Partial differential equations on evolving surfaces: analysis and numerical methods
Abstract: In recent years there has been a strongly growing interest in the development and analysis of numerical simulation methods for PDEs on evolving surfaces. In the presentation we briefly discuss application fields in which such PDEs are relevant. We explain model problems for which well-posedness in a weak variational setting can be shown for the case of smoothly evolving surfaces. A main topic will be a class of numerical methods that can handle problems with topological singularities (e.g., droplet collision) in a robust way.