Energy equality and uniqueness of weak solutions to MHD equations in L .(0,T;L n(.))

In this paper, we study the energy equality and the uniqueness of weak solutions to the MHD equations in the critical space L .(0,T;L n(.)). We prove that if the velocity u belongs to the critical space L .(0,T;L n(.)), the energy equality holds. On the basis of the energy equality, we further prove that the weak solution to the MHD equations is unique.