Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation
Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation
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周期性反应扩散波的非定域调制：Whitham 方程
DOI：
10.1007/s00205-012-0572-x
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发表时间：
2011
影响因子：
2.5
通讯作者：
K. Zumbrun
中科院分区：
文献类型：
--
作者：
Mathew A. Johnson;P. Noble;L. Rodrigues;K. Zumbrun
在另一篇论文中，我们建立了非线性稳定性，其中包括非局域调制加局域（L1）扰动组成的小扰动下反应扩散系统的光谱稳定周期性行波解的详细扩散衰减率。在这里，我们确定了这种扰动下的时间渐近行为，表明解由调制的前导阶组成，其参数演化由相关的 Whitham 平均方程控制。
In a companion paper, we established nonlinear stability with detailed diffusive rates of decay of spectrally stable periodic traveling-wave solutions of reaction diffusion systems under small perturbations consisting of a nonlocalized modulation plus a localized (L1) perturbation. Here, we determine time-asymptotic behavior under such perturbations, showing that solutions consist of a leading order of a modulation whose parameter evolution is governed by an associated Whitham averaged equation.