Global solutions for the heat convection equations in an exterior domain

Toshiaki Hishida, Yoshio Yamada

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    13 Citations (Scopus)


    A nonstationary problem of convection in the exterior domain to a heated sphere is studied. In the Boussinesq approximation, convection phenomena are governed by the system of the Navier-Stokes and heat equations. We find sufficient conditions on boundary and initial data to ensure the global existence of Lp-solutions for this system.

    Original languageEnglish
    Pages (from-to)135-151
    Number of pages17
    JournalTokyo Journal of Mathematics
    Issue number1
    Publication statusPublished - 1992


    ASJC Scopus subject areas

    • Mathematics(all)

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