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Remarks on the global smooth solution of the 3D generalized magneto-micropolar equations
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  • Bo-Qing Dong,
  • Jingbo Wu,
  • Qingqing Wang,
  • Qiueyue Zhang
Bo-Qing Dong
Shenzhen University

Corresponding Author:[email protected]

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Jingbo Wu
Shenzhen University
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Qingqing Wang
Shenzhen University
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Qiueyue Zhang
Shenzhen University
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Abstract

This paper is concerned with the global smooth solution of the 3D generalized magneto-micropolar equations. When the velocity dissipation is logarithmically hyperdissipative and the magnetic diffusion is fractional Laplacian, based on some new observations on the nonlinear structure for the magneto-micropolar equations, it is examined the system has a unique global smooth solution ( u , w , b ) ∈ C ( [ 0 , T ] ; H s ( R 3 ) ) . AMS Subject Classification 2010: 35Q35; 35B65; 76A10; 76B03.

Peer review status:ACCEPTED

10 Oct 2022Submitted to Mathematical Methods in the Applied Sciences
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11 Oct 2022Submission Checks Completed
11 Oct 2022Assigned to Editor
19 Oct 2022Review(s) Completed, Editorial Evaluation Pending
09 Jan 2023Reviewer(s) Assigned
06 Sep 2023Editorial Decision: Revise Minor
07 Sep 20231st Revision Received
13 Sep 2023Submission Checks Completed
13 Sep 2023Assigned to Editor
13 Sep 2023Review(s) Completed, Editorial Evaluation Pending
08 Oct 2023Reviewer(s) Assigned
08 Nov 2023Editorial Decision: Accept