TY - JOUR
T1 - Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations
AU - Regmi , Dipendra
AU - Sharma , Ramjee
JO - Journal of Mathematical Study
VL - 1
SP - 60
EP - 74
PY - 2019
DA - 2019/03
SN - 52
DO - http://doi.org/10.4208/jms.v52n1.19.06
UR - https://global-sci.org/intro/article_detail/jms/13049.html
KW - Global regularity, magnetic Bénard equations, partial dissipation.
AB - <p style="text-align: justify;">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.</p>