Beale–Kato–Madja type criteria of smooth solutions to 3D Hall-MHD flows

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摘要

In this article, we study the initial value problem for the impressible Hall-MHD flows in three space dimensions. Several Beale–Kato–Madja type blow up criteria of smooth solutions in term of the vorticity in homogeneous Besov space are established.

论文关键词：Hall-MHD flows,Smooth solutions,Beale–Kato–Madja type criteria

论文评审过程：Received 7 November 2015, Accepted 2 April 2016, Available online 22 April 2016, Version of Record 22 April 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.04.005