On the partial regularity theory for the MHD equations

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. (C) 2020 Elsevier Inc. All rights reserved.

Automated summary

The use of Morrey spaces in parabolic generalization is crucial for studying the regularity theory of both classical Navier-Stokes equations and MHD equations.