On a dynamical system related to fluid mechanics
type: Item
instance of: scholarly article
title: On a dynamical system related to fluid mechanics
zbMATH Open document ID: 0949.37061
author: Carlo Marchioro
author: P. Negrini
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2000-12-11T00:00:00Z
review text: The authors discuss a dynamical system strictly related to fluid mechanics and defined by the equation of motion of \(N\) point vortices. The time evolution of the system has been studied on a qualitative level and properties of collapse and chaoticity are discovered. The authors also investigate the connection of this dynamical system with a system of \(N\) concentrated smoke rings in an incompressible inviscid fluid, with an axial symmetry without swirl. The convergence of the velocity to the vector field of the system is analyzed and it is proved rigorously at time zero and for any \(N\). The same result is extended to any time in the case of smoke ring.
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 76B47
zbMATH DE Number: 1406554
zbMATH Keywords: vortices
zbMATH Keywords: fluid chaos
zbMATH Keywords: \(N\)-soliton systems
MaRDI profile type: Publication
full work available at URL: s000300050013
OpenAlex ID: W1966111501
DOI: 10.1007/S000300050013
description: scientific article; zbMATH DE number 1406554