Mathematical Study of a Class of Reaction-Di§usion System

Resulting from Chemical Kinetics : Non-linear parabolic systems

Abstract

In this work, we define a diffusion reaction system resulting from the modeling of certain chemical reactions coming from quantitative or formal chemical kinetics [1]. The key amount 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.

CCS Concepts The ACM Computing Classification Scheme :65C, 65N, 65M.