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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.07737 |
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| _version_ | 1866929310995054592 |
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| author | Yuan, Baoquan Xu, Xinyuan Li, Changhao |
| author_facet | Yuan, Baoquan Xu, Xinyuan Li, Changhao |
| contents | In this paper, we study the global regularity problem for the 2D Rayleigh-Bénard 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 $s \ge2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07737 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global regularity of 2D Rayleigh-Bénard equations with logarithmic supercritical dissipation Yuan, Baoquan Xu, Xinyuan Li, Changhao Analysis of PDEs 35Q35, 76D03, 35B65 In this paper, we study the global regularity problem for the 2D Rayleigh-Bénard 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 $s \ge2$. |
| title | Global regularity of 2D Rayleigh-Bénard equations with logarithmic supercritical dissipation |
| topic | Analysis of PDEs 35Q35, 76D03, 35B65 |
| url | https://arxiv.org/abs/2404.07737 |