Seminar on Qualitative Theory of Differential Equations - Johannes Lankeit (15.11.2018)
Thursday 15.11.2018 at 14:00, Lecture room M/223
Johannes Lankeit:
Chemotaxis systems with signal consumption
Abstract:
In the best-known chemotaxis model (the Keller-Segel system),
the signal substance is produced by the population considered.
However, there is also a different kind of chemotaxis models,
where the signal substance is consumed.
In this talk, we will look at such problems and, inter alia,
will consider a coupled chemotaxis-fluid system and prove global existence,
eventual smoothness and long-term behaviour of weak solutions.