Global solvability for double-diffusive convection system based on Brinkman–Forchheimer equation in general domains

Mitsuharu Otani, Shun Uchida

    研究成果: Article

    5 引用 (Scopus)

    抄録

    In this paper, we are concerned with the solvability of the initial boundary value problem of a system which describes double-diffusive convection phenomena in some porous medium under general domains, especially unbounded domains. In previous works where the boundedness of the space domain is imposed, some global solvability results have been already derived. However, when we consider our problem in general domains, some compactness theorems are not available. Hence it becomes difficult to follow the same strategies as before. Nevertheless, we can assure the global existence of a unique solution via the contraction method. Moreover, it is revealed that the global solvability holds for higher space dimension and larger class of the initial data than those assumed in previous works.

    元の言語English
    ページ(範囲)855-872
    ページ数18
    ジャーナルOsaka Journal of Mathematics
    53
    発行部数3
    出版物ステータスPublished - 2016 7 1

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    Global Solvability
    Convection
    Contraction Method
    Unbounded Domain
    Unique Solution
    Global Existence
    Initial-boundary-value Problem
    Porous Media
    Compactness
    Solvability
    Boundedness
    Theorem

    ASJC Scopus subject areas

    • Mathematics(all)

    これを引用

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