Long time evolution of fluids with concentrated vorticity and convergence to the point-vortex model.

In this paper we study the evolution of vorticity in Navier-Stokes planar equations (with a small viscosity) and in Euler's axisymmetric tridimensional equations (with a large distance from the axis), when the initial vorticity is sharply concentrated around N points. We show that, in both case...

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Bibliographic Details
Main Authors: Daniele Cetrone, Gabriele Serafini
Format: Article
Language:English
Published: Sapienza Università Editrice 2018-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:http://www1.mat.uniroma1.it/ricerca/rendiconti/39_1_(2018)_29-78.html