# Global Axisymmetric Euler Flows with Rotation

@inproceedings{Guo2021GlobalAE, title={Global Axisymmetric Euler Flows with Rotation}, author={Yan Guo and Benoit Pausader and Klaus Widmayer}, year={2021} }

We construct a class of global, dynamical solutions to the 3d Euler equations near the stationary state given by uniform “rigid body” rotation. These solutions are axisymmetric, of Sobolev regularity, have non-vanishing swirl and scatter linearly, thanks to the dispersive effect induced by the rotation. To establish this, we introduce a framework that builds on the symmetries of the problem and precisely captures the anisotropic, dispersive mechanism due to rotation. This enables a fine…

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