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arXiv · 2002.05103

Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system

Yong Zeng·Zhibing Zhang
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Abstract

Under the condition of small external forces, we obtain existence of a weak solution of the steady Hall-MHD system with H\"{o}lder continuous magnetic field. We also established regularity of weak solutions provided that magnetic fields are bounded. For sufficiently small external forces, uniqueness result is also established.

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Yong Zeng, Zhibing Zhang. 2020-02-12. Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system. https://doi.org/10.1007/s00526-020-01745-1

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