Title of article :
A NEW REGULARITY CRITERION FOR THE NAVIER-STOKES EQUATIONS
Author/Authors :
YUE ، HU - Henan Polytechnic University , LI ، WU-MING - Henan Polytechnic University
Abstract :
We study the incompressible Navier-Stokes equations in the entire three-dimensional space. We prove that if ∂3u3∈Ls1tLr1x and u1u2∈Ls2tLr2x, then the solution is regular. Here2s1+3r1≤1,3≤r1≤∞,2s2+3r2≤1 and 3≤r 2≤∞.
Keywords :
Navier , Stokes equations , Leray , Hopf weak solution , Regularity
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
