Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary
Date
2005-04-24
Authors
Skalak, Zdenek
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
Any weak solution u of the Navier-Stokes equations in a bounded domain satisfying the Prodi-Serrin's conditions locally near the smooth boundary cannot have singular points there. This local-up-to-the-boundary boundedness of u in space-time implies the Holder continuity of u up-to-the-boundary in the space variables.
Description
Keywords
Navier-Stokes equations, Weak solutions, Boundary regularity
Citation
Skalak, Z. (2005). Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary. <i>Electronic Journal of Differential Equations, 2005</i>(45), pp. 1-11.
Rights
Attribution 4.0 International