A simple mathematical approach to optimize the structure of reaction-diffusion physicochemical systems
Chemical Physics
2014-03-06 v2
Abstract
The calculation of optimal structures in reaction-diffusion models is of great importance in many physicochemical systems. We propose here a simple method to monitor the number of interphases for long times by using a boundary flux condition as a control. We consider as an illustration a 1-D Allen-Cahn equation with Neumann boundary conditions. Numerical examples are given and perspectives for the application of this approach to electrochemical systems are discussed.
Cite
@article{arxiv.1401.0127,
title = {A simple mathematical approach to optimize the structure of reaction-diffusion physicochemical systems},
author = {Jean-Paul Chehab and Alejandro A. Franco and Youcef Mammeri},
journal= {arXiv preprint arXiv:1401.0127},
year = {2014}
}
Comments
16 pages, 10 figures