%0 Journal Article
%T Commentary on local and boundary regularity of weak solutions to Navier-Stokes equations
%A Zdenek Skalak
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X We present results on local and boundary regularity for weak solutions to the Navier-Stokes equations. Beginning with the regularity criterion proved recently in [14] for the Cauchy problem, we show that this criterion holds also locally. This is also the case for some other results: We present two examples concerning the regularity of weak solutions stemming from the regularity of two components of the vorticity ([2]) or from the regularity of the pressure ([3]). We conclude by presenting regularity criteria near the boundary based on the results in [10] and [16].
%K Navier-Stokes equation
%K weak solution
%K partial regularity
%K energy inequality.
%U http://ejde.math.txstate.edu/Volumes/2004/09/abstr.html