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Partial regularity of solutions to the magnetohydrodynamic equations

✍ Scribed by V. Vyalov


Publisher
Springer US
Year
2008
Tongue
English
Weight
179 KB
Volume
150
Category
Article
ISSN
1573-8795

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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 are concerned with strong solutions to the Cauchy problem for the incompressible Magnetohydrodynamic equations. By the Galerkin method, energy method and the domain expansion technique, we prove the local existence of unique strong solutions for general initial data, develop a blow