In this work, we define a diffusion reaction system resulting from the modeling of certain chemical reactions coming from quantitative or formal chemical kinetics . 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.
- Chemical kinetics, mathematical modelisation, the reaction rate, diffusion reaction system, global existence and positivity