Abstract
In this paper, we consider the three-dimensional (3D) incompressible double-diffusive convection equations. By making use of a anisotropic Sobolev’s inequality, we obtain a blowup criterion for the strong solution to the 3D double-diffusive convection equations involving only the middle eigenvalue of the strain tensor in anisotropic Lebesgue spaces. This result improves a result established in a recent work by Miller (Arch Ration Mech Anal 235:99–139, 2019).
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