Commentary on local and boundary regularity of weak solutions to Navier-Stokes equations
Date
2004-01-13
Authors
Skalak, Zdenek
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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].
Description
Keywords
Navier-Stokes equations, Weak solutions, Partial regularity, Energy inequality
Citation
Skalak, Z. (2004). Commentary on local and boundary regularity of weak solutions to Navier-Stokes equations. <i>Electronic Journal of Differential Equations, 2004</i>(9), pp. 1-14.
Rights
Attribution 4.0 International