Asymptotic dynamics in chemotaxis models with logistic source
题目：Asymptotic dynamics in chemotaxis models with logistic source
摘要：This talk is mainly concerned with some of my recent joint works on the dynamics in the logistic type chemotaxis with a free boundary. In the first section, a free boundary problem via Fick's law will be derived to describe the spreading of certain species. The dynamical behaviors of logistic type chemotaxis models on the half line R+ will also be investigated, which are formally corresponding limit systems of the free boundary problems. In the second section, the global bounded solution of the free boundary problem will be established and its asymptotic dynamics will be investigated. Some open problems and future works will also be discussed.