an:06723287
Zbl 1367.35135
Ye, Zhuan
Regularity criterion of the 2D B??nard equations with critical and supercritical dissipation
EN
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 156, 111-143 (2017).
00366060
2017
j
35Q35 35B65 76D03 76R10
B??nard equations; Boussinesq equations; global regularity; regularity criterion
Summary: In this paper, we investigate the Cauchy problem for the two-dimensional (2D) incompressible B??nard equations. On the one hand, we prove global-in-time existence of smooth solutions to the 2D B??nard equations with critical dissipation. On the other hand, we establish several regularity criteria involving temperature for 2D B??nard equations with supercritical dissipation.