On the global well-posedness for the axisymmetric Euler equations

Details On the global well-posedness for the axisymmetric Euler equations On the global well-posedness for the axisymmetric Euler equations

2008-01-15

arxiv.org/abs/0801.2316v1

Mathematics

Analysis of PDEs

28 pages. This is an updated version of the paper (arXiv:math/0703144). The main result is improved

Scientific paper

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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