Research Group Non-linear Partial Differential Equations and Geometric Analysis
Professors and Lecturers
Prof. Dr. K. Deckelnick
Prof. Dr. H.-Ch. Grunau
Priv.-Doz. Dr. B. Rummler
Prof. Dr. M. Simon
Research Assistants
Dr. Boris Gulyak
Dr. Florian Litzinger
Research Interests
Boundary value problems for Willmore surfaces
- Estimates, qualitative properties & existence (Deckelnick, Grunau)
- Development and analysis of numerical approximation methods (Deckelnick)
Ricci-flow (Simon)
- Behaviour of singularities
- Existence and regularity in case of non-smooth initial data
Elliptic boundary value problems of higher order (Grunau)
- Almost positivity and estimates of Green's functions
- Semilinear equations with (super) critical growth, related to differential geometry
Optimal control problems with partial differential equations (Deckelnick)
- Development & analysis of numerical approximation methods
- Applications to parameter identification problems
Nonlinear evolution equations
- Existence, Qualitative Properties & Numerical Approximation for Geometric Evolution Equations (Deckelnick)
- Stability and estimates, almost positivity (Grunau / Simon)
- Existence & regularity on non-smooth starting dates (Simon)
Hydrodynamics (Rummler)
- Eigenfunctions of the Stokes operator
- Laminar-turbulent transition behaviour, bifurcations
- Regularity of decomposition fields
Geometric Analysis Seminar
upcoming talks / archive
Seminar on Differential Geometry and Analysis
upcoming talks / archive
