Global solutions for the heat convection equations in an exterior domain

Toshiaki Hishida, Yoshio Yamada

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    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
    Volume15
    Issue number1
    DOIs
    Publication statusPublished - 1992

    ASJC Scopus subject areas

    • Mathematics(all)

    Fingerprint Dive into the research topics of 'Global solutions for the heat convection equations in an exterior domain'. Together they form a unique fingerprint.

  • Cite this