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Remarks on the Regularity to 3-D Ideal Magnetohydrodynamic Equations

✍ Scribed by Quan Sen Jiu; Cheng He


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2004
Tongue
English
Weight
192 KB
Volume
20
Category
Article
ISSN
1439-7617

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πŸ“œ SIMILAR VOLUMES


Remark on the regularity for weak soluti
✍ Cheng He; Yun Wang πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 160 KB

## Abstract We study the regularity criteria for weak solutions to the incompressible magnetohydrodynamic (MHD) equations. Some regularity criteria, which are related only with __u__+__B__ or __u__βˆ’__B__, are obtained for weak solutions to the MHD equations. Copyright Β© 2008 John Wiley & Sons, Ltd.

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In this paper, we consider the regularity criteria for weak solutions to the 3D incompressible magnetohydrodynamic equations and prove some regularity criteria which are related only with u+B or u-B. This is an improvement of the result given by He and Wang (J.