Article ID Journal Published Year Pages File Type
4621859 Journal of Mathematical Analysis and Applications 2008 10 Pages PDF
Abstract

This paper is concerned with the regularity criterion of Leray–Hopf weak solutions to the 3D Navier–Stokes equations with respect to Serrin type condition on two velocity filed components. It is shown that the weak solution u=(u1,u2,u3)u=(u1,u2,u3) is regular on (0,T](0,T] if there exist two solution components, for example, u2u2 and u3u3, satisfying the condition∇u2,∇u3∈Lp1(0,T;Lq1(R3)),for 2p1+3q1⩽2,32

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, ,