A simple mathematical approach to optimize the structure of   reaction-diffusion physicochemical systems
  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. 
Jean-Paul Chehab and Alejandro A. Franco and Youcef Mammeri
physics.chem-ph