Natural convection with dissipative heating

Yoshiyuki Kagei, M. Růžička, G. Thäter

    Research output: Contribution to journalReview articlepeer-review

    31 Citations (Scopus)


    We derive a system of equations which models the motion of linear viscous fluids that undergo isochoric motions in isothermal processes but not necessarily isochoric ones in non-isothermal processes. The main point is that in contrast to the usual Oberbeck-Boussinesq approximation we do not neglect dissipative heating. We study Rayleigh-Bénard convection for our system and investigate existence, uniqueness and regularity of solutions and conditions for the stability of the motionless state.

    Original languageEnglish
    Pages (from-to)287-313
    Number of pages27
    JournalCommunications in Mathematical Physics
    Issue number2
    Publication statusPublished - Jan 1 2000

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics


    Dive into the research topics of 'Natural convection with dissipative heating'. Together they form a unique fingerprint.

    Cite this