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

Yingdan Ji; Wen Tan

doi:10.3934/dcdsb.2020227

Article Contents

2021, Volume 26, Issue 6: 3271-3278. Doi: 10.3934/dcdsb.2020227

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

Yingdan Ji and
Wen Tan^,

School of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510520, China

^* Corresponding author: Wen Tan
^* Corresponding author: Wen Tan

Received: April 2020

Early access: July 2020

Published: June 2021

The first author is supported by NSFC grant 11701099, The second author is supported by NSFC grant 11871346

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Abstract

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.

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

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References

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