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arXiv · 1607.08403

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

Jinlu Li·Wenke Tan·Zhaoyang Yin
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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}.

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Jinlu Li, Wenke Tan, Zhaoyang Yin. 2017-09-09. Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces. https://doi.org/10.1016/j.aim.2017.07.013

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