On the global well-posedness for the axisymmetric Euler equations |
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Authors: | Hammadi Abidi Taoufik Hmidi Sahbi Keraani |
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Institution: | 1. IRMAR, Université de Rennes 1, Campus de Beaulieu, 35 042, Rennes Cedex, France
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Abstract: | This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in critical
Besov spaces Bp,11+3/p{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. |
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Keywords: | |
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