%0 Journal Article %T Global existence and uniqueness for anisotropic axisymmetric Navier-Stokes system %A Hammadi Abidi %A Marius Paicu %J Mathematics %D 2009 %I arXiv %X We study in this paper the axisymmetric 3-D Navier-Stokes system where the horizontal viscosity is zero. We prove the existence of a unique global solution to the system with initial data of Yudovitch type %U http://arxiv.org/abs/0906.4473v1