|
|||||
|
|
A Mathematical Study of the One-Dimensional Keller and Rubinow Model for Liesegang Bands |
|
| Authors: | D Hilhorst R van der Hout M Mimura and I Ohnishi |
| Institution: | (1) Istituto per le Applicazioni del Calcolo “M. Picone”, Sez. di Napoli, Consiglio Nazionale delle Ricerche, via P. Castellino 111, I-80131 Napoli, Italy;(2) Istituto per le Applicazioni del Calcolo “Mauro Picone”, Consiglio Nazionale delle Ricerche, Viale del Policlinico, 137, I-00161 Roma, Italy;(3) Present address: Schlumberger, WesternGeco, Lidarende 7, N-7051 Trondheim, Norway;(4) INFN-Gruppo c., Cosenza, Italy |
| Abstract: | 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. |
| Keywords: | Reaction-diffusion Liesegang bands Scaling laws Nonlocal terms |
| 本文献已被 SpringerLink 等数据库收录！ | |