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arXiv · 1903.08528

On a model of axisymmetric flows in a free boundary domain

Marc Sedjro
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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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Marc Sedjro. 2019-03-20. On a model of axisymmetric flows in a free boundary domain. https://arxiv.org/abs/1903.08528

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