Non-uniqueness for the hypo-dissipative compressible 3D magnetohydrodynamic equations

Haobin Li, Peng Qu

We consider the compressible 3D magnetohydrodynamic (MHD) equations under general pressure laws. For all hypo-viscosities $(-\hat{I}”{)}^{\hat{I}{\pm }_1}$ and hypo-resistivity $(-\hat{I}”{)}^{\hat{I}{\pm }_2}$ with $Î…