Special Session 95: Nonlinear analysis and elliptic boundary value problems

Dissipation through combinations of nonlocal and gradient nonlinearities in chemotaxis models
Silvia Frassu
University of Cagliari
Italy
Co-Author(s):    Rafael D\`iaz Fuentes, Giuseppe Viglialoro
Abstract:
This talk concerns with a class of chemotaxis models in which external sources, comprising nonlocal and gradient-dependent damping reactions, influence the motion of a cell density attracted by a chemical signal. The mechanism of the two densities is studied in bounded and impenetrable regions. In particular, it is seen that no gathering effect for the cells can appear in time provided that the damping impacts are sufficiently strong.