Karoline Disser, Duy Hai Doan, Thomas Frenzel, Annegret Glitzky, Martin Heida, Hans-Christoph Kaiser, Thomas Koprucki, Matthias Liero, Anieza Maltsi, Oliver Marquardt, Markus Mittnenzweig, Joachim Rehberg, Sina Reichelt, Nella Rotundo
Andrea Eismann, Olga Moiseewa
Herbert Gajewski, Konrad Gröger, Jürgen Sprekels
Many fundamental processes in nature and technology can be described by partial differential equations. The research group is working on the analytical theory of such equations (existence, uniqueness, qualitative behaviour) and on the development and implementation of algorithms for their numerical solution. The algorithms are used for the numerical simulation in industrial applications. The functionality of modern materials, for instance, relies on the complex interplay of effects on several length and time scales as well as on different physical effects, such as mechanics, thermodynamics, optics, and electromagnetism. The main topics of research are mathematical models of carrier transport in semiconductors and optoelectronic devices and reaction-diffusion equations for the transport of dopants in solids. Furthermore, nonlinear material models for linearized and nonlinear elasticity and plasticity as well as for systems with internal variables are under study. In this context, we develop in particular methods for abstract evolutionary equations, e.g. gradient systems, and for multiscale problems.
On occasion of his 80th birthday, Prof. Dr. Konrad Gröger was awarded a Honorary Medal by the Czech Mathematical Society for his longlife contribution to cooperation between Czech and German mathematicians, see photos below.
The junior prize of the International Society for the Interaction of Mechanics and Mathematics (ISIMM) 2018 was awarded to Matthias Liero. The recipient of the prize is to selected among the researchers who made significant contributions linking Mathematics and Mathematical Physics. Matthias Liero's research is focused on the mathematical analysis of partial differential equations, e.g. describing the electrothermal interplay in organic light-emitting diodes (OLEDs). He is already the second awardee of the ISIMM junior prize of our research group.
- Partial Differential Equations
- Laser Dynamics
- Numerical Mathematics and Scientific Computing
- Nonlinear Optimization and Inverse Problems
- Interacting Random Systems
- Stochastic Algorithms and Nonparametric Statistics
- Thermodynamic Modeling and Analysis of Phase Transitions
- Nonsmooth Variational Problems and Operator Equations