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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2021

On the partial regularity theory for the MHD equations

Résumé

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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hal-02563656 , version 1 (05-05-2020)

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Diego Chamorro, Jiao He. On the partial regularity theory for the MHD equations. Journal of Mathematical Analysis and Applications, 2021, 494 (1). ⟨hal-02563656⟩
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