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arXiv · 2202.10256

Global smooth solutions for triangular reaction-cross diffusion systems

Jessica Guerand·Angeliki Menegaki·Ariane Trescases
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Abstract

For a class of reaction cross-diffusion systems of two equations with a cross-diffusion term in the first equation and with self-diffusion terms, we prove that the unique local smooth solution given by Amann theorem is actually global. This class of systems arises in Population dynamics, and extends the triangular Shigesada-Kawasaki-Teramoto system when general power-laws growth are considered in the reaction and diffusion rates.

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Jessica Guerand, Angeliki Menegaki, Ariane Trescases. 2022-02-21. Global smooth solutions for triangular reaction-cross diffusion systems. https://arxiv.org/abs/2202.10256

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