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
Pages
4
From page
126
To page
129
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
Serial Year
2011
Journal title
Journal of Nonlinear Science and Applications
Record number
2474703
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