My interests focus on mathematical fluid dynamics, in particular I am working on interface problems and mixing behavior of fluids.
I mainly study the incompressible Euler and porous media equations with vortex sheet respectively Muskat type initial data.
The most important technique for my research is the convex integration method.
Clemens Förster, Laszlo Szekelyhidi. T5 configurations and non-rigid sets of gradients, Preprint (accepted 2017).
Clemens Förster, Laszlo Szekelyhidi. Piecewise constant subsolutions for the Muskat problem. arXiv:1709.05155