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On the local wellposedness of Three-Dimensional MHD system in the critical spaces

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Abstract

In this article, we prove the local wellposedness of Three-Dimensional incompressible magneto-hydrodynamic system (MHD) with initial data in the critical spaces, without assumptions of small density variation.

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Correspondence to Zi-lai Li.

Additional information

Supported by the National Natural Science Foundation of China 11331005, 11201371, SRDPC20136101110015.

The third author is supported by the Natural Science Foundation of shaanxi province 2012JQ1020.

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Li, Zl., Wang, M. & Yang, J. On the local wellposedness of Three-Dimensional MHD system in the critical spaces. Acta Math. Appl. Sin. Engl. Ser. 31, 607–622 (2015). https://doi.org/10.1007/s10255-015-0489-x

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  • DOI: https://doi.org/10.1007/s10255-015-0489-x

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