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arXiv · 2311.09501

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

Xiaoguang You
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Abstract

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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Xiaoguang You. 2023-11-16. Local existence and uniqueness of solutions for the 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. https://arxiv.org/abs/2311.09501

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