Special Session 60: 

Lower bounds and steady states for some chemotaxis models from mathematical biology

Giuseppe Viglialoro
University of Cagliari
Italy
Co-Author(s):    
Abstract:
In this talk we first consider solutions to a two-dimensional attraction-repulsion chemotaxis model endowed with Neumann boundary conditions. From the literature it is known that under proper assumptions on the data defining the problem, the system has a unique classical solution which becomes unbounded at some finite time: we hence provide an explicit lower bound for such a time. On the other hand we briefly introduce and discuss steady state problems associated to the equilibrium configuration of other chemotaxis models.