239 citations
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Showing 2009 · math.APShow all
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math.AP2009★ 1 cited
Two regularity criteria for the 3D MHD equations
Chongsheng Cao, Jiahong Wu
This work establishes two regularity criteria for the 3D incompressible MHD equations. The first one is in terms of the derivative of the velocity field in one-direction while the…
math.AP2009★ 2 cited
Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
Chongsheng Cao, Jiahong Wu
Whether or not classical solutions of the 2D incompressible MHD equations without full dissipation and magnetic diffusion can develop finite-time singularities is a difficult issue…