Natural convection with dissipative heating

Yoshiyuki Kagei, M. Růžička, G. Thäter

Research output: Contribution to journalReview article

27 Citations (Scopus)

Abstract

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
Volume214
Issue number2
DOIs
Publication statusPublished - Jan 1 2000

Fingerprint

Natural Convection
free convection
Heating
nonisothermal processes
isothermal processes
Boussinesq approximation
Boussinesq Approximation
heating
Existence-uniqueness
Motion
Regularity of Solutions
Uniqueness of Solutions
viscous fluids
uniqueness
Viscous Fluid
regularity
Rayleigh
System of equations
Convection
Existence of Solutions

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Natural convection with dissipative heating. / Kagei, Yoshiyuki; Růžička, M.; Thäter, G.

In: Communications in Mathematical Physics, Vol. 214, No. 2, 01.01.2000, p. 287-313.

Research output: Contribution to journalReview article

Kagei, Y, Růžička, M & Thäter, G 2000, 'Natural convection with dissipative heating', Communications in Mathematical Physics, vol. 214, no. 2, pp. 287-313. https://doi.org/10.1007/s002200000275
Kagei, Yoshiyuki ; Růžička, M. ; Thäter, G. / Natural convection with dissipative heating. In: Communications in Mathematical Physics. 2000 ; Vol. 214, No. 2. pp. 287-313.
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