Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion

Y. S. Choi, Roger Lui, Yoshio Yamada

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    76 Citations (Scopus)

    Abstract

    This paper is a continuation of [3] by the same authors to study the problem of global existence of strong solutions for the Shigesada-Kawasaki-Teramoto model. We shall prove global existence of strong solutions assuming that there are self- and cross-diffusions in the first species and there is no cross-diffusion in the second species. If self-diffusion is also present in the second species, then our result requires that the space dimension be less than 6.

    Original languageEnglish
    Pages (from-to)719-730
    Number of pages12
    JournalDiscrete and Continuous Dynamical Systems
    Volume10
    Issue number3
    Publication statusPublished - 2004 Apr

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    Keywords

    • Apriori estimates
    • Cross-diffusion
    • Global existence
    • Self-diffusion
    • Strongly-coupled

    ASJC Scopus subject areas

    • Mathematics(all)
    • Discrete Mathematics and Combinatorics
    • Applied Mathematics
    • Analysis

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