Publication date:
7 September 2017
Source:Advances in Mathematics, Volume 317
Author(s): Jinlu Li, Wenke Tan, Zhaoyang Yin
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].