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

By Jinlu Li, Wenke Tan, Zhaoyang Yin. 2016

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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 [2] , [11] .

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3936e9fdacdc5ac53aad47c089a54a84ecd210ee