Pierre-Étienne Druet, Thomas Eiter, Annegret Glitzky, Martin Heida, Katharina Hopf, Hans-Christoph Kaiser, Thomas Koprucki, Matthias Liero, Anieza Maltsi, Oliver Marquardt, Arbi Moses Badlyan, Grigor Nika, Petr Pelech, Joachim Rehberg, Stefanie Schindler, Artur Stephan
- AMaSiS 2021: Applied Mathematics and Simulation for Semiconductors, 6th -- 10th September 2021
- SIAM Conference on Analysis of Partial Differential Equations, 14th -- 18th March 2022
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.
Closing conference "Structures in Evolution: Theory and Applications" (23rd -- 25th February 2021) online within the Thematic Einstein Semester, winter term 2020/21: A programme that included renowned speakers such as Pamela Cook (U Delaware), Günther Grün (U Erlangen-Nürnberg), Paul Kotyczka (TU München), Josef Málek (Charles University Prague), Marcel Oliver (U Bremen), Jacquelien Scherpen (U Groningen), Guido Schneider (U Stuttgart), and Ulisse Stefanelli (U Wien) was offered. The full thematic range of application, scale transitions, numerical methods, and mathematical analysis was covered by the talks, which were complemented by discussions in breakout rooms. The conference had 79 registered participants from 10 countries.
"MA4M: Mathematical Analysis for Mechanics" (23rd -- 25th November 2020) online within the Thematic Einstein Semester, winter term 2020/21: This workshop was organised by Matthias Liero, Alexander Mielke, and Marita Thomas and realised in close cooperation with the DFG Priority Programme SPP 2256 “Variational Methods for Predicting Complex Phenomena in Engineering Structures and Materials”. The focus was on the derivation of effective models in continuum mechanics for problems with different scales, on mechanical modelling and mathematical analysis for complex materials, and on variational formulations and relaxation methods. Despite the limitations of the online format, the opportunity to discuss and to compare methods and approaches in the above-mentioned fields was given by virtual discussion boards and extensive breaks between talks. Thereby, exchange between junior and senior scientists was ensured. There were about 120 participants and 19 invited talks, eight of which were given by junior researchers.
"Student Compact Course on Variational Methods and Fluids" online (12th -- 23rd October 2020) and "Kick-off Conference" online (26th -- 30th October 2020) within the Thematic Einstein Semester, winter term 2020/21: A broad programme of online lectures on gradient structures, Hamiltonian systems, GENERIC and port-Hamiltonian structures, evolutionary Gamma-convergence, large deviations theory, structure-preserving numerical methods, and much more was offered to about 100 participants of the ”Student Compact Course”. Interested PhD-students had the opportunity to give short presentations of their work and to further explore the TES topics. Subsequently, a ”Kick-off Conference” with 25 invited talks and about 150 participants took place.
On October 23rd 2019, the organisers of the Berliner Oberseminar "Nonlinear Partial Differential Equations" (Langenbach-Seminar) hosted a colloquium in honour of Prof. Dr. Herbert Gajewski's 80th birthday. Ansgar Jüngel (TU Vienna) gave a special lecture titled "Cross-diffusion systems: from spin semiconductors to biological populations with stochastic forcing", which addressed several of Herbert Gajewski's research fields. Prof. Dr. Herbert Gajewski held the offices of deputy director and acting director of the WIAS and was head of Research Group 1.
Prof. Dr. Karen M. Gambaryan, head of the Semiconductor and Microelectronics Dept. at Yerevan State University, Armenia, visited our institute in July and August 2019. During his visit, which was funded by an award of the German Academic Exchange Service (DAAD), Karen was introduced to the software library Sphinx and performed systematic simulations of InAsSbP quantum dots, resembling the realistic systems obtained in his lab using liquid phase epitaxy (LPE).
Several members of RG1 and the Weierstrass Group participated in the "International Congress on Industrial and Applied Mathematics"(15th --19th July 2019, Valencia, Spain).
After Mr. Thomas Frenzel's PhD thesis defense (”On the derivation of effective gradient systems via EDP-convergence") on 26th June, 2019.
- 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