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 |
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ページ(範囲) | 287-313 |
ページ数 | 27 |
ジャーナル | Communications in Mathematical Physics |
巻 | 214 |
号 | 2 |
DOI | |
出版ステータス | 出版済み - 1月 1 2000 |
All Science Journal Classification (ASJC) codes
- 統計物理学および非線形物理学
- 数理物理学