• 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. 

References

SHOWING 1-10 OF 15 REFERENCES

Carbon-Based Electrodes for Lithium Air Batteries: Scientific and Technological Challenges from a Modeling Perspective

The carbon-based positive electrode of Lithium Air Batteries (LABs) is the component where the major competitive mechanisms occur, such as the electrochemical reactions leading to the formation and

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

Stability analyses and error estimates are carried out for a number of commonly used numerical schemes for the Allen-Cahn and Cahn-Hilliard equations. It is shown that all the schemes we considered

Modern Thermodynamics: From Heat Engines to Dissipative Structures

For readers interested in the Prigogine school of thermodynamics, this book is the first choice because it is a textbook.[...]

Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws

It is proved that, at the numerical level, the large time dynamics depends on the amount of numerical viscosity introduced by the scheme: while Engquist-Osher and Godunov yield the same N-wave asymptotic behavior, the Lax-Friedrichs scheme leads to viscous self-similar profiles, corresponding to the asymPTotic behavior of the solutions of the continuous viscous Burgers equation.

Introduction to derivative-free optimization

Bromination Reactions Important in the Mechanism of the Belousov−Zhabotinsky System

We investigate the kinetics of bromination of malonic acid, bromomalonic acid, tartronic acid, and ethanetetracarboxylic acid in 1 M sulfuric acid with bromine and hypobromous acid as brominating

Self organization in catalyst layers of PEM Fuel Cells

  • J. Phys. Chem. C, 111 (36),
  • 2007

Matlab's optimization toolbox

    Multiscale modeling and numerical simulation of rechargeable lithium ion batteries: concepts, methods and challenges

    • 2013