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Local existence and uniqueness of solutions for the 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion

Xiaoguang You
Nov 2023
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摘要原文
In this paper, we consider the 2D incompressible MHD equations with horizontal dissipation and horizontal magnetic diffusion. We establish local existence and uniqueness of solutions for initial data in $H^s$($s\geq 1$). The proof relays heavily on new estimates of the nonlinear terms.
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