Article Contents
Article Contents

# Global well-posedness of a 3D Stokes-Magneto equations with fractional magnetic diffusion

• * Corresponding author: Wen Tan
The first author is supported by NSFC grant 11701099, The second author is supported by NSFC grant 11871346
• This paper is devoted to the global well-posedness of a three-dimensional Stokes-Magneto equations with fractional magnetic diffusion. It is proved that the equations admit a unique global-in-time strong solution for arbitrary initial data when the fractional index $\alpha\ge\frac32$. This result might have a potential application in the theory of magnetic relaxtion.

Mathematics Subject Classification: Primary: 35M11, 35Q35, 76D03, 76W05.

 Citation:

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