Asymptotic nonlinear stability of a composite wave of two traveling waves to a chemotaxis model

摘要

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 H-1-norm. This improves previous results. Copyright (c) 2017 John Wiley & Sons, Ltd.