%0 Journal Article %T On the global well-posedness for the axisymmetric Euler equations %A Hammadi Abidi %A Taoufik Hmidi %A Sahbi Keraani %J Mathematics %D 2008 %I arXiv %X This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in critical Besov spaces $B_{p,1}^{1+3/p}$. In this case the BKM criterion is not known to be valid and to circumvent this difficulty we use a new decomposition of the vorticity. %U http://arxiv.org/abs/0801.2316v1