A Mathematical Study of the One-Dimensional Keller and Rubinow Model for Liesegang Bands
A Mathematical Study of the One-Dimensional Keller and Rubinow Model for Liesegang Bands
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DOI：
10.1007/s10955-009-9701-9
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发表时间：
2009-04-01
影响因子：
1.6
通讯作者：
Ohnishi, I.
中科院分区：
文献类型：
--
作者：
Hilhorst, D.;van der Hout, R.;Ohnishi, I.
我们的目的是从数学的角度开始理解实验，其中展示了具有空间上不同的沉淀材料带或环的正则化结构，具有清晰可见的缩放特性。这种模式被称为Liesegang带或环。在本文中，我们研究了一个一维版本的Keller和Rubinow模型和目前的条件，确保Liesegang带的存在。
Our purpose is to start understanding from a mathematical viewpoint experiments in which regularized structures with spatially distinct bands or rings of precipitated material are exhibited, with clearly visible scaling properties. Such patterns are known as Liesegang bands or rings. In this paper, we study a one-dimensional version of the Keller and Rubinow model and present conditions ensuring the existence of Liesegang bands.