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

Mitsuharu Otani, Shun Uchida

    研究成果: Article

    3 引用 (Scopus)

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    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.

    元の言語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
    発行部数12
    DOI
    出版物ステータスPublished - 2016 8 1

    ASJC Scopus subject areas

    • Mathematics(all)
    • Engineering(all)

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