Local existence and uniqueness for the non-resistive MHD equations in   homogeneous Besov spaces
  In the paper, we consider the Cauchy problem of the non-resistive MHD equations in homogeneous Besov spaces. We prove the local existence and uniqueness of the solution to the non-resistive MHD equations by using the iterative scheme and compactness arguments. Our obtained result improves considerably the recent results in \cite{C,W}. 
Jinlu Li, Wenke Tan, Zhaoyang Yin
math.AP