Global Existence of classical solutions for a class of reaction-diffusion systems
El Haj Laamri (IECN)
TL;DR
This paper proves the global existence of classical solutions for a specific class of reaction-diffusion systems using duality methods, advancing understanding of the mathematical behavior of reversible chemical reactions.
Contribution
It introduces a novel application of duality arguments to establish global solutions for reaction-diffusion systems, extending previous theoretical results.
Findings
Established global existence of classical solutions
Applied duality methods to reaction-diffusion systems
Focused on reversible chemical reaction models
Abstract
In this paper, we use duality arguments "\`a la Michel Pierre" to establish global existence of classic solutions for a class of parabolic reaction-diffusion systems modeling, for instance, the evolution of reversible chemical reactions.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Mathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Dynamics and Pattern Formation