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arXiv · 2404.07737

Global regularity of 2D Rayleigh-B\'{e}nard equations with logarithmic supercritical dissipation

Baoquan Yuan·Xinyuan Xu·Changhao Li
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Abstract

In this paper, we study the global regularity problem for the 2D Rayleigh-B\'{e}nard equations with logarithmic supercritical dissipation. By exploiting a combined quantity of the system, the technique of Littlewood-Paley decomposition and Besov spaces, and some commutator estimates, we establish the global regularity of a strong solution to this equations in the Sobolev space $H^{s}(\mathbb{R}^{2})$ for $s \ge2$.

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Baoquan Yuan, Xinyuan Xu, Changhao Li. 2024-04-11. Global regularity of 2D Rayleigh-B\'{e}nard equations with logarithmic supercritical dissipation. https://arxiv.org/abs/2404.07737

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