Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations
Thursday 15.11.2018 at 14:00 Lecture room M-223
Johannes Lankeit (KAMŠ FMFI UK):
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.