Natural convection with dissipative heating

Yoshiyuki Kagei, M. Růžička, G. Thäter

研究成果: Contribution to journalReview article査読

30 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)287-313
ページ数27
ジャーナルCommunications in Mathematical Physics
214
2
DOI
出版ステータス出版済み - 1 1 2000

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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