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arXiv · 1705.10010

Global well-posedness of the MHD equations via the comparison principle

Dongyi Wei·Zhifei Zhang
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Abstract

In this paper, we prove the global well-posedness of the incompressible MHD equations near a homogeneous equilibrium in the domain $R^k\times T^{d-k}, d\geq2,k\geq1$ by using the comparison principle and constructing the comparison function.

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Dongyi Wei, Zhifei Zhang. 2017-05-29. Global well-posedness of the MHD equations via the comparison principle. https://arxiv.org/abs/1705.10010

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