On the global existence for the axisymmetric Euler equations
Hammadi Abidi1 ; Taoufik Hmidi1 ; Sahbi Keraani1
1 IRMAR, Université de Rennes 1, Campus de Beaulieu, 35 042 Rennes cedex. France
Journées équations aux dérivées partielles (2008), article no. 4, 17 p.

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 .

DOI : 10.5802/jedp.48
Hammadi Abidi 1 ; Taoufik Hmidi 1 ; Sahbi Keraani 1

1 IRMAR, Université de Rennes 1, Campus de Beaulieu, 35 042 Rennes cedex. France 
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Hammadi Abidi; Taoufik Hmidi; Sahbi Keraani. On the global existence for the axisymmetric Euler equations. Journées équations aux dérivées partielles (2008), article  no. 4, 17 p. doi : 10.5802/jedp.48. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.48/

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