Coherent Structures Generated by Inhomogeneities in Oscillatory Media
Coherent Structures Generated by Inhomogeneities in Oscillatory Media
复制标题
振荡介质中的不均匀性产生的相干结构
DOI：
--
复制
发表时间：
2007
影响因子：
2.1
通讯作者：
A. Scheel
中科院分区：
文献类型：
--
作者：
R. Kollár;A. Scheel
研究了反应扩散系统中空间局部不均匀性对空间均匀振荡的影响。在2维以下，我们发现了源和接触缺陷，也就是说，不均匀性可以发出相波或作为弱汇。我们表明，小的不均匀性不能作为源在两个以上的空间维度。我们还推导出在远场的波数和群速度的渐近性。结果严格建立在反应扩散系统中的径向对称不均匀性，以及调制方程近似中的任意不均匀性。
We investigate the effect of spatially localized inhomogeneities on a spatially homogeneous oscillation in a reaction‐diffusion system. In dimension up to two, we find sources and contact defects, that is, the inhomogeneity may either send out phase waves or act as a weak sink. We show that small inhomogeneities cannot act as sources in more than two space dimensions. We also derive asymptotics for wavenumbers and group velocities in the far field. The results are established rigorously for radially symmetric inhomogeneities in reaction‐diffusion systems, and for arbitrary inhomogeneities in a modulation equation approximation.