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 .
@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/} }
TY - JOUR TI - On the global existence for the axisymmetric Euler equations JO - Journées équations aux dérivées partielles N1 - talk:4 PY - 2008 DA - 2008/// PB - Groupement de recherche 2434 du CNRS UR - https://jedp.centre-mersenne.org/articles/10.5802/jedp.48/ UR - https://doi.org/10.5802/jedp.48 DO - 10.5802/jedp.48 LA - en ID - JEDP_2008____A4_0 ER -
Hammadi Abidi; Taoufik Hmidi; Sahbi Keraani. On the global existence for the axisymmetric Euler equations. Journées équations aux dérivées partielles (2008), Talk no. 4, 17 p. doi : 10.5802/jedp.48. https://jedp.centre-mersenne.org/articles/10.5802/jedp.48/
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