Existence and Instability of Traveling Pulses of Generalized Keller-Segel Equations

Chueh-Hsin Chang

Department of Applied Mathematics

Tunghai University


    Keller-Segel Equations exhibit the phenomenon of chemotaxis. It is difficult to find the traveling pulse solutions for the minimal model. In this talk, we talk about the existence and instability of some Keller-Segel Equations with nonlinear chemical gradients and small diffusions by the geometric singular perturbation theory and spectral analysis. This is a joint work with Y. S. Chen, John. M. Hong, and B. C. Huang.

Keyword: Keller-Segel model, traveling wave solution