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arXiv · 0801.2316

On the global well-posedness for the axisymmetric Euler equations

Hammadi Abidi·Taoufik Hmidi·Sahbi Keraani
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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 $B_{p,1}^{1+3/p}$. 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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Hammadi Abidi, Taoufik Hmidi, Sahbi Keraani. 2008-01-15. On the global well-posedness for the axisymmetric Euler equations. https://arxiv.org/abs/0801.2316

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