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 .
@incollection{JEDP_2008____A4_0,
author = {Abidi, Hammadi and Hmidi, Taoufik and Keraani, Sahbi},
title = {On the global existence for the axisymmetric {Euler} equations},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {4},
pages = {1--17},
publisher = {Groupement de recherche 2434 du CNRS},
year = {2008},
doi = {10.5802/jedp.48},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jedp.48/}
}
TY - JOUR AU - Abidi, Hammadi AU - Hmidi, Taoufik AU - Keraani, Sahbi TI - On the global existence for the axisymmetric Euler equations JO - Journées équations aux dérivées partielles PY - 2008 SP - 1 EP - 17 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.48/ DO - 10.5802/jedp.48 LA - en ID - JEDP_2008____A4_0 ER -
%0 Journal Article %A Abidi, Hammadi %A Hmidi, Taoufik %A Keraani, Sahbi %T On the global existence for the axisymmetric Euler equations %J Journées équations aux dérivées partielles %D 2008 %P 1-17 %I Groupement de recherche 2434 du CNRS %U http://www.numdam.org/articles/10.5802/jedp.48/ %R 10.5802/jedp.48 %G en %F JEDP_2008____A4_0
Abidi, Hammadi; Hmidi, Taoufik; Keraani, Sahbi. 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. http://www.numdam.org/articles/10.5802/jedp.48/
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