Attractors for autonomous double-diffusive convection systems based on Brinkman–Forchheimer equations

Mitsuharu Otani*, Shun Uchida

*この研究の対応する著者

    研究成果: Article査読

    4 被引用数 (Scopus)

    抄録

    In this paper, we consider the existence of global attractor and exponential attractor for some dynamical system generated by nonlinear parabolic equations in bounded domains with the dimension N≤4 which describe double-diffusive convection phenomena in a porous medium. We deal with both of homogeneous Dirichlet and Neumann boundary condition cases. Especially, when Neumann condition is imposed, we need some assumptions and restrictions for the external forces and the average of initial data, since the mass conservation law holds.

    本文言語English
    ページ(範囲)3328-3349
    ページ数22
    ジャーナルMathematical Methods in the Applied Sciences
    39
    12
    DOI
    出版ステータスPublished - 2016 8月 1

    ASJC Scopus subject areas

    • 数学 (全般)
    • 工学(全般)

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