Global existence for a strongly coupled reaction diffusion system

Said Kouachi; Kamuela E. Yong; Rana D. Parshad

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arXiv · 1404.5984

Global existence for a strongly coupled reaction diffusion system

Said Kouachi·Kamuela E. Yong·Rana D. Parshad

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Abstract

In this work we use functional methods to prove the boundedness and global existence of solutions for a class of strongly coupled parabolic systems. We apply the results to deduce the global existence of solutions for a classic Shigesada-Kawasaki-Teramoto (SKT) type model, for an extended range of the self-diffusion and cross-diffusion coefficients than those available in the current literature. We provide numerical simulations in 2D, via a spectral Galerkin method to verify our global existence results, as well as to visualize the dynamics of the system.

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Said Kouachi, Kamuela E. Yong, Rana D. Parshad. 2014-08-01. Global existence for a strongly coupled reaction diffusion system. https://arxiv.org/abs/1404.5984

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