On the global existence for the axisymmetric Euler equations
Journées équations aux dérivées partielles (2008), Exposé 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 .

Publié le :
DOI : https://doi.org/10.5802/jedp.48 
@article{JEDP_2008____A4_0,
     author = {Hammadi Abidi and Taoufik Hmidi and Sahbi Keraani},
     title = {On the global existence for the axisymmetric {Euler} equations},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     note = {talk:4},
     publisher = {Groupement de recherche 2434 du CNRS},
     year = {2008},
     doi = {10.5802/jedp.48},
     language = {en},
     url = {https://jedp.centre-mersenne.org/articles/10.5802/jedp.48/}
}
Hammadi Abidi; Taoufik Hmidi; Sahbi Keraani. On the global existence for the axisymmetric Euler equations. Journées équations aux dérivées partielles (2008), Exposé no. 4, 17 p. doi : 10.5802/jedp.48. https://jedp.centre-mersenne.org/articles/10.5802/jedp.48/

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