• Corpus ID: 223953348

Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation

@article{GodardCadillac2020CorotatingVW,
  title={Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation},
  author={Ludovic Godard-Cadillac and Philippe Gravejat and Didier Smets},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
We provide a variational construction of special solutions to the generalized surface quasi-geostrophic equations. These solutions take the form of N vortex patches with N-fold symmetry , which are steady in a uniformly rotating frame. Moreover, we investigate their asymptotic properties when the size of the corresponding patches vanishes. In this limit, we prove these solutions to be a desingularization of N Dirac masses with the same intensity, located on the N vertices of a regular polygon… 
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