On the partial regularity theory for the MHD equations

Diego Chamorro; Jiao He

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arXiv · 2005.02697

On the partial regularity theory for the MHD equations

Diego Chamorro·Jiao He

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Abstract

We generalize here the celebrated Partial Regularity Theory of Caffarelli, Kohn and Nirenberg to the MHD equations in the framework of parabolic Morrey spaces. This type of parabolic generalization using Morrey spaces appears to be crucial when studying the role of the pressure in the regularity theory for the classical Navier-Stokes equations as well as for the MHD equations.

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Diego Chamorro, Jiao He. 2020-05-06. On the partial regularity theory for the MHD equations. https://arxiv.org/abs/2005.02697

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