Regularity criteria for a Lagrangian-averaged magnetohydrodynamic-\(\alpha \) model (Q622414)
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scientific article; zbMATH DE number 5843305
| Language | Label | Description | Also known as |
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| English | Regularity criteria for a Lagrangian-averaged magnetohydrodynamic-\(\alpha \) model |
scientific article; zbMATH DE number 5843305 |
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Regularity criteria for a Lagrangian-averaged magnetohydrodynamic-\(\alpha \) model (English)
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31 January 2011
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It has been shown earlier in the literature that the weak solutions of 3D-NS and MHD equations remain smooth in \((0,T)\times\mathbb R^3\) if the velocity \(v\) satisfies certain conditions. In this paper, \(n\)-dimensional Lagrangian-averaged MHD-\(\alpha\) model is studied and certain regularity criteria are established for both the cases with or without viscosity.
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LAMHD-\(\alpha \) model
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Besov space
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