In this paper, we establish the space-time estimates in the Besov spaces of the solution to the Navier-Stokes equations in $\bold R^n , n\geq 3$. As an application, we improve some known results about the regularity criterion of weak solutions and the blow-up criterion of smooth solutions. Our main tools are the frequency localization and the Littlewood-Paley decomposition.
@article{1175797483,
author = {Chen, Qionglei and Zhang, Zhifei},
title = {Space-Time Estimates in the Besov Spaces and the Navier-Stokes Equations},
journal = {Methods Appl. Anal.},
volume = {13},
number = {1},
year = {2006},
pages = { 107-122},
language = {en},
url = {http://dml.mathdoc.fr/item/1175797483}
}
Chen, Qionglei; Zhang, Zhifei. Space-Time Estimates in the Besov Spaces and the Navier-Stokes Equations. Methods Appl. Anal., Tome 13 (2006) no. 1, pp. 107-122. http://gdmltest.u-ga.fr/item/1175797483/