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arXiv · 2308.07524

A new stability result for the 2D Boussinesq equations with horizontal dissipation

Hong Sung Jin·Minkyu Kwak·Bataa Lkhagvasuren
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Abstract

For $\mathbb{R}^2$, the stability of smooth solutions of 2D anisotropic Boussinesq equations with horizontal dissipation is an open problem. In this work, we present a partial answer to this problem in a rougher function space $H^{0,s}(\mathbb{R}^2)$. Moreover, the previous stability results with the regularity index $\frac 12<s<1$ is extended to an integer $1\le s$ and the elementary techniques are used.

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Hong Sung Jin, Minkyu Kwak, Bataa Lkhagvasuren. 2023-08-15. A new stability result for the 2D Boussinesq equations with horizontal dissipation. https://arxiv.org/abs/2308.07524

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