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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2017

BOUNDARY CONTROL OF THE NUMBER OF INTERFACES FOR THE ONE-DIMENSIONAL ALLEN-CAHN EQUATION

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Résumé

The identification of optimal structures in reaction-diffusion models is of great importance in numerous physicochemical systems. We propose here a simple method to monitor the number of interphases formed after long simulated times by using a boundary flux condition as a control parameter. We consider as an illustration a 1-D Allen-Cahn equation with Neumann boundary conditions. Numerical examples are provided and perspectives for the application of this approach to electrochemical systems are discussed.

Domaines

Chimie Matériaux

Dates et versions

hal-03611049 , version 1 (16-03-2022)

Identifiants

Citer

Jean-Paul Chehab, Alejandro A. Franco, Youcef Mammeri. BOUNDARY CONTROL OF THE NUMBER OF INTERFACES FOR THE ONE-DIMENSIONAL ALLEN-CAHN EQUATION. Discrete and Continuous Dynamical Systems - Series S, 2017, 10 (1), pp.87-100. ⟨10.3934/dcdss.2017005⟩. ⟨hal-03611049⟩
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