Abstract
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 [2] 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) |
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Pages (from-to) | 1223-1246 |
Number of pages | 24 |
Journal | Differential and Integral Equations |
Volume | 22 |
Issue number | 11-12 |
State | Published - Nov 2009 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics