Regularity criteria for the two-and-half-dimensional magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity-Reference-Cited by-同舟云学术

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Regularity criteria for the two-and-half-dimensional magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity

Published:2019-02-06 Issue:1 Volume:2019 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Ma Liangliang,Zhang Lei

Funder

National Natural Science Foundation of China

National Natural Science Foundation of Qinghai Province

Open Research Fund Program of State key Laboratory of Hydroscience and Engineering

The Science and Technology Major Project of Qinghai Province Natural Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13661-019-1130-3.pdf

Reference26 articles.

1. Cambridge Studies in Advanced Mathematics;A. Ambrosetti,1995

2. Cao, C., Regmi, D., Wu, J.: The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. J. Differ. Equ. 254, 2661–2681 (2013)

3. Cao, C., Wu, J.: Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion. Adv. Math. 226, 1803–1822 (2011)

4. Chen, Q., Miao, C., Zhang, Z.: The Beale–Kato–Majda criterion for the 3D magneto-hydrodynamics equations. Commun. Math. Phys. 275, 861–872 (2007)

5. Cheng, J., Du, L.: On two-dimensional magnetic Bénard problem with mixed partial viscosity. J. Math. Fluid Mech. 17, 769–797 (2015)

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1. Blow-up criteria for the 3D Bénard system in Besov spaces;Journal of Inequalities and Applications;2019-03-12

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