Angewandte Analysis

Applied Analysis

Research activities

Fluid dynamics

  • Navier-Stokes Equations
  • Comressible und incompressible fluids
  • Viscoelastic fluids, complex fluids
  • Liquid crystals
  • Geophysical flows
  • Fluid structure Interaction

Evolution equations

  • Maximal regularity
  • Asymptotics and stability
  • Variational methods
  • Periodic problems
  • Non-local operators
  • Spectral theory on graphs

Reaction-diffusion equations

  • Chemotaxis and related problems in biomathematics
  • Non-linear and degenerated diffusion

Elasto-plasticity

  • Phase transitions
  • Microstructures in materials
  • Homogenisation

Operator theory and numerical analysis

  • Indexformulas
  • Toeplitz operators
  • Operator algebras

PDEs in non-smooth situations

  • Lipschitz domains and worse
  • Mixed boundary conditions
  • Kato problem

Stochastic PDEs

  • Transport with white noise