English

On a model of axisymmetric flows in a free boundary domain

Analysis of PDEs 2019-03-21 v1

Abstract

We consider a model of axisymmetric flows for a free boundary vortex embedded in a statically stable fluid at rest. We identify the boundary of the vortex by solving a variational problem. Then, we reduce the analysis of the dynamics of the vortex to the study of a class of continuity equations for which we construct a solution.

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Cite

@article{arxiv.1903.08528,
  title  = {On a model of axisymmetric flows in a free boundary domain},
  author = {Marc Sedjro},
  journal= {arXiv preprint arXiv:1903.08528},
  year   = {2019}
}

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23 pages