Sharp non-uniqueness of weak solutions to 3D magnetohydrodynamic equations

Yachun Li, Zirong Zeng, Deng Zhang

We prove the non-uniqueness of weak solutions to 3D hyper viscous and resistive MHD in the class $L_t^{\gamma }{W}_x^{s,p}$, where the exponents $(s,\gamma ,p)$ lie in two supercritical regimes. T…