Global regularity of logarithmically supercritical MHD system with zero diffusivity

Abstract

We prove the global regularity of the solution pair to the N-dimensional logarithmically supercritical magnetohydrodynamics system with zero diffusivity. This is the endpoint case omitted in the work of [24]; it also improves some previous results logarithmically.

This is the accepted version: Appl. Math. Lett., in press

References in corpus (3)

• On the regularity criterion of weak solution for the 3D viscous Magneto-hydrodynamics equations
• The Beale-Kato-Majda criterion to the 3D Magneto-hydrodynamics equations
• A note on the slightly supercritical Navier Stokes equations in the plane