Global Existence and Regularity Results for Large Cross Diffusion Models on Planar Domains

Dung Le

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arXiv · 1605.00043

Global Existence and Regularity Results for Large Cross Diffusion Models on Planar Domains

Dung Le

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Abstract

The global existence of classical solutions to cross diffusion systems of more than 2 equations given on a planar domain is established. The results can apply to generalized Shigesada-Kawasaki-Teramoto (SKT) and food pyramid models whose diffusion and reaction can have polynomial growth of any order.

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Dung Le. 2016-04-29. Global Existence and Regularity Results for Large Cross Diffusion Models on Planar Domains. https://arxiv.org/abs/1605.00043

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