Natural convection with dissipative heating

Yoshiyuki Kagei, M. Růžička, G. Thäter

Research output: Contribution to journalReview articlepeer-review

30 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


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