• Corpus ID: 94377263

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

@article{Chehab2013ASM,
  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: Chemical Physics},
  year={2013}
}
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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