On 3-D vortex patches in bounded domains

Alexandre Dutrifoy

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On 3-D vortex patches in bounded domains

Alexandre Dutrifoy

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Abstract

This article concerns the equations of motion of perfect incompressible fluids in a 3-D, smooth, bounded, simply connected domain. We suppose that the curl of the initial velocity field is a vortex patch, and examine the classical problems of the existence of a solution, either locally or globally in time, and of the persistence of the initial regularity.

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BibTeX RIS

Alexandre Dutrifoy. 2003-02-06. On 3-D vortex patches in bounded domains. https://arxiv.org/abs/math/0302066

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