We study axially symmetric solutions with no swirl of the three-dimensional Navier-Stokes equations in a half-space. We prove that suitable weak solutions in this case are Hölder continuous up to the boundary at all points except for the origin. For interior points this implies smoothness in the spatial variables. Hölder continuity at the origin remains as an open problem.
|Number of pages||8|
|Journal||SIAM Journal on Mathematical Analysis|
|Publication status||Published - 2004|
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics