Special Session 105: Nonlinear Differential Problems on Flat and Curved Structures: Variational and Topological Methods
On some properties of solutions to a class of parabolic system
Monica Marras
University of Cagliari Italy
Co-Author(s): Y. Chiyo, T. Yokota, S. Vernier-Piro
Abstract:
We are interested in qualitative properties as blow-up phenomena, decay in time, boundedness, global existence for solutions of some classes of parabolic systems.
In particular, we study a new class of Keller Segel models, which presents a limited flux
and an optimal transport of cells density according to chemical signal density.