Abstract
ABSTRACT In this paper, the local existence and uniqueness of weak solutions to a d-dimensional non-resistive MHD equations in homogeneous Besov spaces are studied. Specifically we obtain the local existence of a weak solution of the non-resistive MHD equations for the initial data and with , and the uniqueness of the weak solution when . Compared with the previous results for the non-resistive MHD equations, in the local existence part, the range of p extends to from , but the uniqueness of the solution requires yet.
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