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arXiv · 1401.0127

A simple mathematical approach to optimize the structure of reaction-diffusion physicochemical systems

Jean-Paul Chehab·Alejandro A. Franco·Youcef Mammeri
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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.

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Jean-Paul Chehab, Alejandro A. Franco, Youcef Mammeri. 2013-12-31. A simple mathematical approach to optimize the structure of reaction-diffusion physicochemical systems. https://arxiv.org/abs/1401.0127

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