Special Session 1: Analysis of parabolic models for chemotaxis

Boundedness of classical solutions to a chemotaxis consumption model with signal dependent motility
Khadijeh Baghaei
Pasargad Institute for Advanced Innovative Solutions
Iran
Co-Author(s):    Ali Khelghati
Abstract:
My goal in this talk is to present our recent results for a chemotaxis consumption model with signal dependent motility and logistic source. For this model, we have proved that there exists a unique global classical solution which is uniformly in time bounded. This result is obtained for small initial data without any restriction on the coefficient of the logistic term. This is a joint project with Ali Khelghati.