Asymptotic stability of Landau solutions to the MHD system and energy decay
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866915942044270592 |
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| author | De Nitti, Nicola Wang, Yun Zhang, Shaoheng |
| author_facet | De Nitti, Nicola Wang, Yun Zhang, Shaoheng |
| contents | We consider the three-dimensional incompressible MHD system. Any weak solution satisfying a strong energy inequality is $L^2$-asymptotically stable around a Landau solution. Under an additional integrability assumption on the initial perturbation, we also obtain an explicit algebraic decay rate for the $L^2$-norm of the velocity and magnetic perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15910 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotic stability of Landau solutions to the MHD system and energy decay De Nitti, Nicola Wang, Yun Zhang, Shaoheng Analysis of PDEs We consider the three-dimensional incompressible MHD system. Any weak solution satisfying a strong energy inequality is $L^2$-asymptotically stable around a Landau solution. Under an additional integrability assumption on the initial perturbation, we also obtain an explicit algebraic decay rate for the $L^2$-norm of the velocity and magnetic perturbations. |
| title | Asymptotic stability of Landau solutions to the MHD system and energy decay |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2604.15910 |