Asymptotic stability of a composite wave of two traveling waves to a hyperbolic–parabolic system modeling chemotaxis
Asymptotic stability of a composite wave of two traveling waves to a hyperbolic–parabolic system modeling chemotaxis
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DOI：
10.1002/mma.2731
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发表时间：
2013-09
影响因子：
2.9
通讯作者：
Jingyu Li;Lina Wang;Kaijun Zhang
中科院分区：
文献类型：
--
作者：
Jingyu Li;Lina Wang;Kaijun Zhang
本文研究了由两个行波组成的复合波对模拟排斥趋化的双曲抛物型系统的渐近稳定性。在初等能量估计的基础上，我们证明了复合波在一般初始扰动下是渐近稳定的，这些扰动不一定是零积分。作为一个应用，我们对存在边界的系统得到了类似的结果。版权所有©2013 John Wiley & Sons， Ltd
In this paper, we study the asymptotic stability of a composite wave consisting of two traveling waves to a hyperbolic–parabolic system modeling repulsive chemotaxis. On the basis of elementary energy estimates, we show that the composite wave is asymptotically stable under general initial perturbations, which are not necessarily zero integral. As an application, we obtain a similar result for this system in the presence of a boundary. Copyright © 2013 John Wiley & Sons, Ltd.