On some macroscopic models for type-II superconductivity

G. Akagi*, Mitsuharu Otani

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    This paper is concerned with a variational inequality with a time-dependent constraint, which arises from some macroscopic models of type-II superconductivity, as well as its approximate problems associated with generalized p-Laplace operators. We prove the existence and uniqueness of solutions for each problem by establishing an abstract theory for doubly nonlinear evolution equations governed by two time-dependent subdifferential operators in reflexive Banach spaces.

    Original languageEnglish
    JournalNonlinear Analysis, Theory, Methods and Applications
    Volume63
    Issue number5-7
    DOIs
    Publication statusPublished - 2005 Nov 30

    Keywords

    • Bean's critical-state model
    • Doubly nonlinear evolution equation
    • Subdifferential operator

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)

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