On the global well-posedness for the axisymmetric Euler equations
Analysis of PDEs
2008-01-16 v1
Abstract
This paper deals with the global well-posedness of the 3D 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.
Cite
@article{arxiv.0801.2316,
title = {On the global well-posedness for the axisymmetric Euler equations},
author = {Hammadi Abidi and Taoufik Hmidi and Sahbi Keraani},
journal= {arXiv preprint arXiv:0801.2316},
year = {2008}
}
Comments
28 pages. This is an updated version of the paper (arXiv:math/0703144). The main result is improved