Time evolution of an infinite number of vortices in a strip
type: Item
instance of: scholarly article
title: Time evolution of an infinite number of vortices in a strip
zbMATH Open document ID: 0583.76023
DOI: 10.1007/BF01009753
author: E. Omerti
author: Carlo Marchioro
published in: Journal of Statistical Physics
publication date: 1983-01-01T00:00:00Z
review text: We study the time evolution of a system of vortices in a strip in the thermodynamic limit. We prove the existence and the uniqueness of the solution of the equation of motion for a regularized version of the usual vortex dynamics. We extend this result to a system of particles interacting in one dimension via a long-range potential.
Mathematics Subject Classification ID: 76B47
zbMATH DE Number: 3934588
zbMATH Keywords: infinite number of vortices
zbMATH Keywords: time evolution
zbMATH Keywords: system of vortices
zbMATH Keywords: thermodynamic limit
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: long-range potential
MaRDI profile type: Publication
cites work: Vortex methods in two-dimensional fluid dynamics
cites work: Statistical mechanics of vortices in an inviscid two-dimensional fluid
cites work: Quasi-periodic motions of vortex systems
cites work: Motion of three vortices
cites work: The classical mechanics of one-dimensional systems of infinitely many particles. I: An existence theorem
description: scientific article; zbMATH DE number 3934588