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.
Submitted May 19, 2004. Published April 24, 2005.
Math Subject Classifications: 35Q35, 35B65.
Key Words: Navier-Stokes equations; weak solutions; boundary regularity.
Show me the PDF file (266K), TEX file, and other files for this article.
| Zdenek Skalak |
Czech Technical University
Faculty of Civil Engineering
166 29 Prague 6, Czech Republic
Return to the EJDE web page