L-energy method for a parabolic system with convection and hysteresis effect

Emil Minchev, Mitsuharu Otani

    Research output: Contribution to journalArticle

    Abstract

    The L-energy method is developed so as to handle nonlinear parabolic systems with convection and hysteresis effect. The system under consideration originates from a biological model where the hysteresis and convective effects are taken into account in the evolution of species. Some results for the existence of local and global solutions as well as the uniqueness of solution are presented.

    Original languageEnglish
    Pages (from-to)1613-1632
    Number of pages20
    JournalCommunications on Pure and Applied Analysis
    Volume17
    Issue number4
    DOIs
    Publication statusPublished - 2018 Jul 1

    Keywords

    • Convection
    • Hysteresis
    • L-energy method
    • Parabolic system
    • Subdifferential operator

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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