Asymptotic nonlinear stability of a composite wave of two traveling waves to a chemotaxis model |
| |
| Authors: | Shijie Shi Zhengrong Liu |
| |
| Affiliation: | School of Mathematics, South China University of Technology, Guangzhou, Guangdong, China |
| |
| Abstract: | In this paper, we investigate the asymptotic stability of a composite wave consisting of two traveling waves to a Keller–Segel chemotaxis model with logarithmic sensitivity and nonzero chemical diffusion. We show that the composite wave is asymptotically stable under general initial perturbation, which only be needed small in H1‐norm. This improves previous results. Copyright © 2017 John Wiley & Sons, Ltd. |
| |
| Keywords: | chemotaxis asymptotic stability traveling wave composite wave energy estimates |
|
|
