Non-uniqueness of weak solutions to the 3-D stationary MHD equations in Besov space with negative regularity index

Peng Qu, Mingxin Zhang

In this paper, we study the 3-D incompressible fractional stationary MHD equations on the torus ${\mathbb{T}}^3$. For fractional power indices $\hat{I}{\pm }_1,\hat{I}{\pm }_2>0,$ we prove that there exi…