The eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations

Yoshiyuki Kagei, Wolf Von Wahl

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)

    Abstract

    This paper is concerned with the stability problem of the convection roll solutions of the Oberbeck-Boussinesq equations. We consider the stability of the roll solutions with respect to the two-dimensional disturbances. The Eckhaus criterion for the stability and instability of the roll solutions is derived in a mathematically rigorous way.

    Original languageEnglish
    Pages (from-to)563-620
    Number of pages58
    JournalInternational Journal of Non-Linear Mechanics
    Volume32
    Issue number3
    DOIs
    Publication statusPublished - May 1997

    All Science Journal Classification (ASJC) codes

    • Mechanics of Materials
    • Mechanical Engineering
    • Applied Mathematics

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