On the global existence for the axisymmetric Euler equations
Hammadi Abidi, Taoufik Hmidi, Sahbi Keraani (2008)
Journées Équations aux dérivées partielles
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This paper deals with the global well-posedness of the D axisymmetric Euler equations for initial data lying in critical Besov spaces . 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 .