On the global existence for the axisymmetric Euler equations
Abidi, Hammadi ; Hmidi, Taoufik ; Keraani, Sahbi
Journées équations aux dérivées partielles, (2008), p. 1-17 / Harvested from Numdam
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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 .

Publié le : 2008-01-01
DOI : https://doi.org/10.5802/jedp.48 
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     author = {Abidi, Hammadi and Hmidi, Taoufik and Keraani, Sahbi},
     title = {On the global existence for the axisymmetric Euler equations},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2008},
     pages = {1-17},
     doi = {10.5802/jedp.48},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2008____A4_0}
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Abidi, Hammadi; Hmidi, Taoufik; Keraani, Sahbi. On the global existence for the axisymmetric Euler equations. Journées équations aux dérivées partielles,  (2008), pp. 1-17. doi : 10.5802/jedp.48. http://gdmltest.u-ga.fr/item/JEDP_2008____A4_0/

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