Abstract
In this paper, logarithmically improved regularity criteria for the Navier–Stokes and the MHD equations are established in terms of both the vorticity field and the pressure.
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Communicated by Y. Giga
S. Jiang is partially supported by the National Basic Research Program (Grant No. 2005CB321700) and NSFC (Grant No. 40890154). Y. Zhou is partially supported by Zhejiang Innovation Project (Grant No. T200905), ZJNSF (Grant No. R6090109) and NSFC (Grant No. 10971197).
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Fan, J., Jiang, S., Nakamura, G. et al. Logarithmically Improved Regularity Criteria for the Navier–Stokes and MHD Equations. J. Math. Fluid Mech. 13, 557–571 (2011). https://doi.org/10.1007/s00021-010-0039-5
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DOI: https://doi.org/10.1007/s00021-010-0039-5