Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
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equationsnon-resistivebesovexistencehomogeneouslocalspacesuniqueness
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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}.
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