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Zhang, Zujin

A remark on the regularity criterion for the 3D Boussinesq equations involving the pressure gradient. (English) Zbl 1472.35312

Abstr. Appl. Anal. 2014, Article ID 510924, 4 p. (2014).
Summary: We consider the three-dimensional Boussinesq equations and obtain a regularity criterion involving the pressure gradient in the Morrey-Companato space \(M_{p, q}\). This extends and improves the result of S. Gala [Appl. Anal. 92, No. 1, 96–103 (2013; Zbl 1284.35313)] for the Navier-Stokes equations.

Cited in 4 Documents

MSC:

35Q35 PDEs in connection with fluid mechanics
35B65 Smoothness and regularity of solutions to PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids

Keywords:

Boussinesq equations; regularity criterion

Citations:

Zbl 1284.35313
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\textit{Z. Zhang}, Abstr. Appl. Anal. 2014, Article ID 510924, 4 p. (2014; Zbl 1472.35312)
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References:

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