Mathematisches Forschungskolloquium 2023

Das Forschungskolloquium richtet sich an ein breites mathematisches Publikum. Es soll die Diskussionen über die mathematischen Spezialisierungen der verschiedenen Arbeitsgruppen hinaus am Institut fördern. Außerdem sollen auch Studierende (Master-Studierende und fortgeschrittene Bachelor-Studierende) durch das Kolloquium die Gelegenheit erhalten, sich über aktuelle Themen der Mathematik zu informieren.

  • Ing. Ph. D. Lukas Kotrla (Universität Pilsen, Tschechien)
    Thema: "Nonuniqueness and multi-bump solutions in parabolic problems with the $p$-Laplacian"
    The validity of the weak and strong comparison principles for degenerate parabolic partial differential equations with the p-Laplace operator Delta_p is investigated for p > 2. This problem is reduced to the comparison of the trivial solution (≡ 0, by hypothesis) with a nontrivial nonnegative solution u(x,t). Auch interessierte Studierende sind herzlich eingeladen.
    Mittwoch, 06.12.2023, 16:00 Uhr, Ulmenstr. 69, Haus 3, HS 125

  • Dr. Rainer Klages (Queen Mary University of London)
    "Stochastic modelling of biological motion: sea turtles, bumblebees and crawling cells"
    Abstract: "I will present three examples for statistical experimental data analysis of biological motion, with the aim to construct stochastic models reproducing the dynamics. First I consider the paths of loggerhead sea turtles foraging in front of the coast of West Africa. Then I study the flight paths of bumblebees searching for nectar by changing environmental conditions in a laboratory experiment. Finally I analyse experimentally observed trajectories of crawling biological cells. In all three cases stochastic models are constructed based on the data, which deviate from simple Brownian motion. These models are generalised Langevin equations and related stochastic processes, partially generating anomalous dynamics."
    25. Oktober 2023, 15:15 Uhr, HS 326/327 (Ulmenstr. 69, Haus 3)
    Kolloquiumsleiter: Dr. Wolfram Just