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On stability of Boussinesq equations without thermal conduction

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Abstract

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.

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Acknowledgements

The author thanks Prof. Yongzhong Sun for guidance and useful discussions. The research is partially supported by NSFC under Grant No. 11771395, 12071211.

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  1. Department of Mathematics, Nanjing University, Nanjing, 210093, China

    Lihua Dong

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  1. Lihua Dong
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Correspondence to Lihua Dong.

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Dong, L. On stability of Boussinesq equations without thermal conduction. Z. Angew. Math. Phys. 72, 128 (2021). https://doi.org/10.1007/s00033-021-01559-x

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  • DOI: https://doi.org/10.1007/s00033-021-01559-x

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