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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.15030 |
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| _version_ | 1866909263534751744 |
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| author | Liu, Jieqiong |
| author_facet | Liu, Jieqiong |
| contents | This paper establishes the global well-posedness of strong solutions to the nonhomogeneous magnetic Bénard system with positive density at infinity in the whole space $\mathbb{R}^2$. More precisely, we obtain the global existence and uniqueness of strong solutions for general large initial data. Our method relies on dedicate energy estimates and a logarithmic interpolation inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15030 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global well-posedness to the Cauchy problem of 2D nonhomogeneous magnetic Bénard system with large initial data and vacuum Liu, Jieqiong Analysis of PDEs 35Q35 This paper establishes the global well-posedness of strong solutions to the nonhomogeneous magnetic Bénard system with positive density at infinity in the whole space $\mathbb{R}^2$. More precisely, we obtain the global existence and uniqueness of strong solutions for general large initial data. Our method relies on dedicate energy estimates and a logarithmic interpolation inequality. |
| title | Global well-posedness to the Cauchy problem of 2D nonhomogeneous magnetic Bénard system with large initial data and vacuum |
| topic | Analysis of PDEs 35Q35 |
| url | https://arxiv.org/abs/2407.15030 |