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arXiv · 1311.6185

Global small solution to the 2D MHD system with a velocity damping term

Jiahong Wu·Yifei Wu·Xiaojing Xu
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Abstract

This paper studies the global well-posedness of the incompressible magnetohydrodynamic (MHD) system with a velocity damping term. We establish the global existence and uniqueness of smooth solutions when the initial data is close to an equilibrium state. In addition, explicit large-time decay rates for various Sobolev norms of the solutions are also given.

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Jiahong Wu, Yifei Wu, Xiaojing Xu. 2013-11-24. Global small solution to the 2D MHD system with a velocity damping term. https://arxiv.org/abs/1311.6185

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