Year: 2019
Author: Dipendra Regmi, Ramjee Sharma
Journal of Mathematical Study, Vol. 52 (2019), Iss. 1 : pp. 60–74
Abstract
In this paper, we study the global regularity issue of two dimensional incompressible magnetic Bénard equations with partial dissipation and magnetic diffusion. It remains open whether the smooth initial data produce solutions that are globally regular in time for all values of the parameters involved in the equations. We present conditional global regularity of the solutions. Moreover, we prove the global regularity for the slightly regularized system.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v52n1.19.06
Journal of Mathematical Study, Vol. 52 (2019), Iss. 1 : pp. 60–74
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Global regularity magnetic Bénard equations partial dissipation.