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Regularity criteria for the 3d magnetic B\’enard equations without thermal diffusion in terms of pressure
  • Dongxiang Chen,
  • Fangfang Jian,
  • Xiaoli Chen
Dongxiang Chen
Jiangxi Normal University
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Fangfang Jian
Jiangxi Normal University
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Xiaoli Chen
Jiangxi Normal University
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Peer review status:UNDER REVIEW

18 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
20 Jun 2020Assigned to Editor
20 Jun 2020Submission Checks Completed
25 Jun 2020Reviewer(s) Assigned

Abstract

In this paper, the authors obtain some new blow up criteria for the smooth solution to the three dimensional magnetic B\’enard equation without thermal diffusion in terms of pressure. We prove that if $\pi\in L^2(0, T; L^{\f3r}(\R^3))$ with $0