A simple mathematical approach to optimize the structure of reactiondiffusion physicochemical systems
Abstract
The calculation of optimal structures in reactiondiffusion 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 1D AllenCahn equation with Neumann boundary conditions. Numerical examples are given and perspectives for the application of this approach to electrochemical systems are discussed.
 Publication:

arXiv eprints
 Pub Date:
 December 2013
 arXiv:
 arXiv:1401.0127
 Bibcode:
 2014arXiv1401.0127C
 Keywords:

 Physics  Chemical Physics;
 65M06;
 49M25
 EPrint:
 16 pages, 10 figures