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Well-posedness and asymptotic regularity for the generalized MHD-Boussinesq equations
  • Hui Liu,
  • Hongjun Gao
Hui Liu
Qufu Normal University

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Hongjun Gao
Southeast University
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Abstract

The generalized MHD-Boussinesq equations are studied in this paper. The well-posedness of the strong solutions for the generalized MHD-Boussinesq equations is proved. Asymptotic regularity for the generalized MHD-Boussinesq equations is proved in $H^{\frac{9}{2}}\times H^{\frac{9}{2}}\times H^{\frac{9}{2}}$. The higher regularity for the generalized MHD-Boussinesq equations is proved in $H^{a}\times H^{a}\times H^{a}$ for $a\geq\frac{9}{2}$.
03 Apr 2022Submitted to Mathematical Methods in the Applied Sciences
04 Apr 2022Submission Checks Completed
04 Apr 2022Assigned to Editor
12 Apr 2022Reviewer(s) Assigned
28 Jul 2022Review(s) Completed, Editorial Evaluation Pending
23 Aug 2022Editorial Decision: Revise Major
26 Oct 20221st Revision Received
27 Oct 2022Submission Checks Completed
27 Oct 2022Assigned to Editor
27 Oct 2022Review(s) Completed, Editorial Evaluation Pending
30 Oct 2022Reviewer(s) Assigned
02 Jan 2023Editorial Decision: Revise Minor
31 Jan 20232nd Revision Received
01 Feb 2023Submission Checks Completed
01 Feb 2023Assigned to Editor
01 Feb 2023Review(s) Completed, Editorial Evaluation Pending
06 Feb 2023Reviewer(s) Assigned
14 Feb 2023Editorial Decision: Accept