We are interested in the global well posedness of the axisymmetric Navier-Stokes system with initial data belonging to the critical Besov spaces B1+3/pp,1. We obtain uniform estimates of the viscous solutions (vv) with respect to the viscosity in the spirit of the work  concerning the axisymmetric Euler equations. We provide also a strong convergence result in the Lp norm of the viscous solutions (v v) to the Eulerian one v.
|Original language||English (US)|
|Number of pages||24|
|Journal||Differential and Integral Equations|
|State||Published - Nov 2009|
ASJC Scopus subject areas
- Applied Mathematics