Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
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DOI：
10.1016/j.jde.2013.04.002
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发表时间：
2013-07
影响因子：
2.4
通讯作者：
Hai-yang Jin;Jingyu Li;Zhian Wang
中科院分区：
文献类型：
--
作者：
Hai-yang Jin;Jingyu Li;Zhian Wang
研究了一类具有奇异（或对数）灵敏度的趋化模型及其变换后的抛物-双曲方程组行波解的非线性稳定性。根据参数符号的不同，我们利用谱分析讨论了行波解的线性不稳定性，并利用加权能量估计讨论了零端态行波解的非线性渐近稳定性，后者解决了李和王在2009 [7]中的一个未解决的问题.
This paper establishes the nonlinear stability of traveling wave solutions to a chemotaxis model with singular (or logarithmic) sensitivity and its transformed parabolic–hyperbolic system. Depending on the parameter signs, we discuss the linear instability of traveling wave solutions using the spectral analysis and nonlinear asymptotic stability of traveling wave solutions with zero end state by the weighted energy estimates, where the latter result solves the open question left in a previous work (Li and Wang, 2009 [7]).