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arXiv · 2107.10082

On asymptotic stability of the 3D Boussinesq equations without thermal conduction

Lihua Dong·Yongzhong Sun
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Abstract

We investigate the asymptotic stability of solution to Boussinesq equations without thermal conduction with the initial data near a specific stationary solution in the three--dimensional domain $\Omega = \mathbb{R}^{2}\times (0,1)$. It is shown that the solution starting from a small perturbation to the stationary solution converges to it with explicit algebraic rates as time tends to infinity.

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Lihua Dong, Yongzhong Sun. 2021-07-21. On asymptotic stability of the 3D Boussinesq equations without thermal conduction. https://doi.org/10.1007/s00021-022-00660-z

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