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 Sommersemester 2025:

08.04.2025 16-18 (D1 320)
On approximating system parameter functions and constructing cut-off functions with prescribed boundary conditions
(Frederic Heihoff, Universität Paderborn)

15.04.2025, 16-18 (D1 320)
Formation of Dirac singularities in the parabolic-elliptic Keller-Segel system
(Gregor Flüchter, Universität Paderborn)

22.04.2025, 16-18 (D1 320)
Global solvability in problems from viscoelasticity 
(Michael Winkler, Universität Paderborn)

29.04.2025, 16-18 (D1 320)
The qualitative analysis to a doubly degenerate chemotaxis-consumption system with logistic source.
(Duan Wu, Universität Paderborn, Northwestern Polytechnical University)

06.05.2025, 16-18 (D1 320)
On a two-species chemotaxis system with indirect signal production and general competition terms.
(Yuting Xiang, Chongqing University)

13.05.2025, 16-18 (D1 320)
Blow-up and boundedness in a chemotaxis system with flux limitation and nonlinear diffusion.
(Minghua Zhang, Chongqing University)

20.05.2025, 16-18 (D1 320)
Large-time solvability in problems from viscoelasticity for mildly temperature dependent parameter functions
(Felix Meyer, Paderborn University)

27.05.2025, 16-18 (D1 320)
The global solvability and asymptotic behavior for doubly degenerate nutrient model with large initial data
(Duan Wu, Universität Paderborn, Northwestern Polytechnical University)

03.06.2025, 16-18 (D1 320)
Well-posedness on an alarm-taxis model
(Xueyan Tao, Ocean University of China)

17.06.2025, 16-18 (D1 320)
Boundedness and large-time behavior in a two-species doubly degenerate diffusion chemotaxis system with logistic proliferation
(Yuting Xiang, Chongqing University)

24.06.2025, 16-18 (D1 320)
Roles of density-related diffusion and signal-dependent motilities in a chemotaxis-consumption system
(Genglin Li, Shanghai Jiao Tong University)