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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.10230 |
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| _version_ | 1866913839850717184 |
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| author | Fazekas, Borbála Kolumbán, József J. |
| author_facet | Fazekas, Borbála Kolumbán, József J. |
| contents | We investigate the explicit convex relaxation of the ideal magnetohydrodynamics equations. We provide a non-trivial lower estimate on the lamination hull and an upper estimate on the $Λ$-convex hull, the latter providing inequalities which will be satisfied by weak limits of weak solution of the ideal MHD equations, which serve as a model of averaged turbulent magnetohydrodynamical flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10230 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Estimating the convex relaxation of the ideal magnetohydrodynamics equations Fazekas, Borbála Kolumbán, József J. Analysis of PDEs We investigate the explicit convex relaxation of the ideal magnetohydrodynamics equations. We provide a non-trivial lower estimate on the lamination hull and an upper estimate on the $Λ$-convex hull, the latter providing inequalities which will be satisfied by weak limits of weak solution of the ideal MHD equations, which serve as a model of averaged turbulent magnetohydrodynamical flows. |
| title | Estimating the convex relaxation of the ideal magnetohydrodynamics equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.10230 |