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In this work, we are interested in modeling the evolution of chemical reactions in the form of reaction-diffusion system. Our interest relates to quantitative of formal chemical kinetics. The key quantity is that of the reaction rate. The objective of this work is to prove the local, global existence, uniqueness, and positivity for these reaction-diffusion systems. A numerical code has been produced allowing taking into account the various nonlinearities.

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Modeling and Numerical Simulation of a Class of Reaction-Diffusion System Resulting from Chemical Kinetics

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  • 发表日期：

    2025年

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  • Saida Bakht,
  • Nadia Idrissi Fatmi

摘要

In this work, we are interested in modeling the evolution of chemical reactions in the form of reaction-diffusion system. Our interest relates to quantitative of formal chemical kinetics. The key quantity is that of the reaction rate. The objective of this work is to prove the local, global existence, uniqueness, and positivity for these reaction-diffusion systems. A numerical code has been produced allowing taking into account the various nonlinearities.