Regularity Criteria for the MHD Equations With Partial Dissipation and Magnetic Diffusion

WANG Shu; BAI Jinxiong

Journal of Beijing University of Technology > 2013 > 39(1): 143-148,152.

WANG Shu, BAI Jinxiong. Regularity Criteria for the MHD Equations With Partial Dissipation and Magnetic Diffusion[J]. Journal of Beijing University of Technology, 2013, 39(1): 143-148,152.

Citation:

WANG Shu, BAI Jinxiong. Regularity Criteria for the MHD Equations With Partial Dissipation and Magnetic Diffusion[J]. Journal of Beijing University of Technology, 2013, 39(1): 143-148,152.

Citation:

WANG Shu, BAI Jinxiong. Regularity Criteria for the MHD Equations With Partial Dissipation and Magnetic Diffusion[J]. Journal of Beijing University of Technology, 2013, 39(1): 143-148,152.

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Regularity Criteria for the MHD Equations With Partial Dissipation and Magnetic Diffusion

College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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Received Date: May 23, 2011
Available Online: January 10, 2023

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The regularity for the 2D incompressible MHD equations with partial dissipation and magnetic diffusion was studied.A regularity criteria was given for the 2D incompressible MHD equations with partial dissipation and magnetic diffusion(The velocity field and the magnetic field had the partial derivative of two-order type only in the same one direction).It is proved that the uniqueness local classical solution of the 2D incompressible MHD equations with partial dissipation and magnetic diffusion will be global if the partial derivative of magnetic in one direction satisfies one regularity criteria.
- regularity criteria,
- 2D incompressible MHD equations,
- zero viscosity limit

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