Former Groups

Besides the research groups, there exists a flexible research platform at WIAS, consisting of temporarily established groups. The following list shows all of those groups whose term has already expired:

Elliptic Partial Differential Equations and Symmetry of Interfaces and Layers for Odd Nonlinearities
The inverstigations of the group are dedicated to the analysis of interfaces of layers that arise, for instance, in phase transitions and surface phenomena. The focus is on the geometry, structure and regularity of the interfaces. From the mathematical viewpoint, elliptic variational problems will be addressed, in particular, problems involving fractional Laplace operators.
Entropy Formulation of Evolutionary Phase Transitions
The central research goal is to open new horizons with a novel mathematical formulation of physical problems. We aim to obtain relevant mathematical results in order to get further insight into new models for phase transitions and the corresponding evolution PDE systems.
Modeling of Damage Processes

The group focussed on the modeling, analysis and simulation of damage processes. It emerged from a successful application in the Leibniz competition.

Coupled flow processes in energy and environmental research
Modeling of coupled flow processes is an urgent and largely unsolved interdisciplinary problem. They have eminent importance in energy research, geosciences, environmental and climate research, civil engineering and materials science.
Mathematical Models for Lithium-Ion Batteries
Die Themen der Gruppe sind mathematische Modellierung, Analysis, Numerische Analysis und Simulationen verschiedener Komponenten von Lithium-Ionen-Batterien.
Probabilistic Methods for Mobile Ad-hoc Networks
The group is performing mathematical research on connectivity and capacity problems in mobile relay-augmented probabilistic models. Its expertise includes dynamic modelling of message propagation in dense networks, bottleneck behaviour in Device-to-Device (D2D) systems, connection times in large networks without infrastructure and wifi-augmented mobil urban communications models.
Numerics for innovative semiconductor devices
We solve nonlinear systems of partial differential equations, describing charge transport in semiconductors. Typical challenges include boundary layers, nonlinear diffusion and how to correctly preserve the physics. To efficiently solve the PDE system, we develop specialized finite volume methods on anisotropic Voronoi meshes as well as problem-dependent preconditioners. This allows us to simulate innovative semiconductor devices based on perovskites, nanowires and accurate lasers used in self-driving cars.