Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces

Abstract

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}.

13 papes, Advances in Mathematics 2017

References in corpus (1)

• Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces

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