• Corpus ID: 237385925

Global Axisymmetric Euler Flows with Rotation

  title={Global Axisymmetric Euler Flows with Rotation},
  author={Yan Guo and Benoit Pausader and Klaus Widmayer},
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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