Global well-posedness and large-time behavior for three-dimensional magneto-micropolar equations with horizontal dissipation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916966620463104 |
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| author | Lu, Peng Qiao, Yuanyuan |
| author_facet | Lu, Peng Qiao, Yuanyuan |
| contents | This paper is concerned with the stability and large-time behavior for 3D magneto-micropolar equations with horizontal dissipation. The global well-posedness of the aforementioned system is established, with the initial data and its vertical derivatives required to be sufficiently small in $L^2$ space. Moreover, we obtain the optimal decay rates for the $H^1$-norm of the solution. The proofs of our main results rely on the special structure of the equations and anisotropic Sobolev-type inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19015 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global well-posedness and large-time behavior for three-dimensional magneto-micropolar equations with horizontal dissipation Lu, Peng Qiao, Yuanyuan Analysis of PDEs This paper is concerned with the stability and large-time behavior for 3D magneto-micropolar equations with horizontal dissipation. The global well-posedness of the aforementioned system is established, with the initial data and its vertical derivatives required to be sufficiently small in $L^2$ space. Moreover, we obtain the optimal decay rates for the $H^1$-norm of the solution. The proofs of our main results rely on the special structure of the equations and anisotropic Sobolev-type inequalities. |
| title | Global well-posedness and large-time behavior for three-dimensional magneto-micropolar equations with horizontal dissipation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.19015 |