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Type: Artigo de periódico
Title: On the large-time behavior of two-dimensional vortex dynamics
Author: Iftimie, D
Lopes, MC
Lopes, HJN
Abstract: In this paper we prove two results regarding the large-time behavior of vortex dynamics in the full plane. In the first result we show that the total integral of vorticity is confined in a region of diameter growing at most like the square root of time. In the second result we show that if a dynamic rescaling of the absolute value of vorticity with spatial scale growing linearly with time converges weakly, then it must converge to a discrete sum of Dirac masses. This last result extends in scope a previous result by the authors, valid for nonnegative initial vorticity on a half-plane. (C) 2003 Elsevier Science B.V. All rights reserved.
Subject: vorticity
incompressible flow
ideal flow
Country: Holanda
Editor: Elsevier Science Bv
Citation: Physica D-nonlinear Phenomena. Elsevier Science Bv, v. 179, n. 41732, n. 153, n. 160, 2003.
Rights: fechado
Identifier DOI: 10.1016/S0167-2789(03)00028-9
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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