A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field
| Autor: | Alghamdi, Ahmad M., Gala, Sadek, Ragusa, Maria Alessandra |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | This work focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed pressure-velocity-magnetic field in view of Lorentz spaces. Our main result shows the weak solution is regular, provided that $${\frac{\pi }{\left( e^{-\left\vert x\right\vert ^{2}}+\left\vert u\right\vert +\left\vert b\right\vert \right) ^{\theta }}\in L}^{p}(0,T;L^{q,\infty }(\mathbb{R}^{3})),\text{ where }\frac{2}{p}+\frac{3}{% q}=2-\theta \text{ and }0\leq \theta \leq 1.$$ |
| Databáze: | arXiv |
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