Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation

Quansen Jiu, Xiaoxiao Suo, Jiahong Wu +1

This paper examines the uniqueness of weak solutions to the d-dimensional magnetohydrodynamic (MHD) equations with the fractional dissipation $(-\Delta {)}^{\alpha }u$ and without the magnetic dif…