After successful completion of the course, students are able to explain and give proof of properties and analytic structures of equations of Chemotaxis. They can also hold a presentation and write a seminar paper.
Analysis of Keller-Segel-equations of Chemotaxis and variations. Blow-up properties of solutions; prevention of blow-up solutions; further properties of solutions
presentation by the student (blackboard or beamer), discussion of the presentation, seminar paper
Please note the text by Manfred Lehn "Wie halte ich einen Seminarvortrag?"
http://download.uni-mainz.de/mathematik/Topologie%20und%20Geometrie/Lehre/Wie-halte-ich-einen-Seminarvortrag.pdf
good presentation, written paper, regular attendance
Not necessary
partial differential equations, nonlinear partial differential equations