Czech Technical University
Faculty of Civil Engineering
Thakurova 7
166 29 Prague 6, Czech Republic
email: skalak@mat.fsv.cvut.cz
Zdenek Skalak
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.
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 Thakurova 7 166 29 Prague 6, Czech Republic email: skalak@mat.fsv.cvut.cz |
|---|
Return to the EJDE web page