  In this paper we discuss the MHD flow of a second grade fluid, in particular
we prove the existence and uniqueness of a weak solution of a time-dependent
grade two fluid model in a two-dimensional Lipschitz domain. We follow the
methodology of Girault and Saadouni (Ref.[3]), i.e , we use a constructive
method which can be adapted to the numerical analysis of finite-element schemes
for solving this problem numerically.
