We investigate the stability of a specific stationary solution to Boussinesq equations without thermal conduction in the flat strip \(\Omega = \mathbb {T}\times (0,1)\). Explicit decay rates of the vorticity/velocity are given as well as the limit state of the temperature. Our method is based on time-weighted energy estimates.

中文翻译：

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关于无热传导的 Boussinesq 方程的稳定性

我们研究了在扁平带\(\Omega = \mathbb {T}\times (0,1)\) 中没有热传导的 Boussinesq 方程的特定平稳解的稳定性。给出了涡度/速度的显式衰减率以及温度的极限状态。我们的方法基于时间加权能量估计。