Z. Skalak, Department of Mathematics, Faculty of Civil Engineering, Czech Technical University, Thakurova 7, 166 29 Prague 6, Czech Republic, e-mail: skalak@mat.fsv.cvut.cz
Abstract: We present a simplified proof of a theorem proved recently concerning the number of singular points of weak solutions to the Navier-Stokes equations. If a weak solution $ u$ belongs to $L^\infty(0,T,L^3(\Omega)^3)$, then the set of all possible singular points of $ u$ in $\Omega$ is at most finite at every time $t_0\in(0,T)$.
Keywords: Navier-Stokes equations, partial regularity
Classification (MSC 2000): 35Q10, 35B65
Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade.
To activate your access, please contact Myris Trade at myris@myris.cz.
Subscribers of Springer (formerly Kluwer) need to access the articles on their site, which is http://www.springeronline.com/10492.
