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A note on the regularity criteria for the Navier-Stokes equations

Authors:	Zhengguang Guo Sadek Gala

Institution:	^a College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, Zhejiang, China ^b Department of Mathematics, College of Science, Jazan University, Jazan, KSA

Abstract:	We consider the regularity problem for 3D Navier-Stokes equations in a bounded domain with smooth boundary. A new sufficient condition which guarantees the regularity of weak solutions on the quotient ∇p/(1+\|u\|^δ₁+\|∇u\|^δ₂) for the Navier-Stokes equations is established.

Keywords:	Navier-Stokes equations Regularity criterion A priori estimates
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