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

Published 29 Apr 2016 in math.AP | (1605.00043v1)

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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