On the blow-up criterion for the Hall-MHD problem with partial dissipation in R^3

Baoying Du

doi:10.22541/au.163251238.86128449/v1

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On the blow-up criterion for the Hall-MHD problem with partial dissipation in R^3

Baoying Du

Abstract

We deal with the incompressible 3D Hall-magnetohydrodynamics with partial dissipation, a new blow-up criterion is obtained, based on which we also prove a new global solutions with small data.