Special Session 1: Analysis of parabolic models for chemotaxis

Stabilization and pattern formation in a chemotaxis model with acceleration

Weirun Tao
Southeast University
Peoples Rep of China
Co-Author(s):    Chunlai Mu, Zhi-An Wang
Abstract:
In this talk, we consider a new type of chemotaxis model with acceleration, which assumes that species` advective acceleration instead of velocity in the classical chemotaxis model is proportional to the chemical signal concentration gradient. This new model has an additional equation governing the velocity field with more delicate boundary conditions. We shall introduce some results on global existence, stabilization, and pattern formation of the model with/without the logistic source term.