Im Oberseminar "Angewandte Analysis" werden vertiefende Fragestellungen aus dem Bereich der nichtlinearen Analysis behandelt, meist mit inhaltlicher Fokussierung auf partielle Differentialgleichungen. In flexiblem Wechsel zwischen (Impuls-)Vortrag und Diskussion werden aktuelle Forschungsergebnisse vorgestellt und Lösungsansätze für offene Probleme diskutiert.

Themen im Wintersemester 2024/25:

08.10.2024, 18-20 (D1 328)
Blowup dichotomies in quasilinear Keller-Segel systems: Approaching the full picture
(Michael Winkler, Universität Paderborn)

15.10.2024, 18-20 (D1 328)
Aymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions
(Piotr Knosalla, Opole University)

22.10.2024, 18-20 (D1 328)
Asymptotic stability in a fully parabolic quasilinear chemotaxis model with general logistic source and signal production
(Mengyao Ding, Harbin Institute of Technology)

29.10.2024, 18-20 (D1 328)
On a two-species chemotaxis system with indirect signal production and general competition terms
(Yuting Xiang, Chongqing University)

05.11.2024, 18-20 (D1 328)
The global solvability and asymptotic behavior for doubly degenerate nutrient model with large initial data
(Duan Wu, Universität Paderborn, Northwestern Polytechnical University)

12.11.2024, 18-20 (D1 328)
Global existence of solutions to a fully parabolic chemotaxis system with singular sensitivity and logistic source
(Mengyao Ding, Harbin Institute of Technology)

19.11.2024, 18-20 (D1 328)
Local and global solvability in a viscous wave equation involving general temperature-dependence
(Torben Fricke, Universität Paderborn)

26.11.2024, 18-20 (D1 328)
On the usefulness of mass-accumulation functions in the construction of solutions in certain chemotaxis settings
(Gregor Flüchter, Universität Paderborn)

03.12.2024, 18-20 (D1 328)
Deriving qualitative properties of chemotaxis models using mass-accumulation function techniques
(Frederic Heihoff, Universität Paderborn)

10.12.2024, 18-20 (D1 328)
The qualitative analysis to a doubly degenerate chemotaxis-consumption system on non-convex domain.
(Duan Wu, Universität Paderborn, Northwestern Polytechnical University)

07.01.2025, 18-20 (D1 328)
Boundedness and stabilization in a two-species chemotaxis-competition system with indirect signal production.
(Yuting Xiang, Chongqing University)

14.01.2025, 18-20 (D1 328)
A primer on boundary regularity properties in the context of partial differential equations.
(Frederic Heihoff, Paderborn University)

21.01.2025, 18-20 (D1 328)
Finding classic solutions to a viscoelastic partial differential equation model with quasi-constant feedback functions.
(Felix Meyer, Paderborn University)