Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/56422
Type: Artigo de periódico
Title: Computational visualization of Shnirelman's compactly supported weak solution
Author: Bronzi, AC
Lopes, MC
Lopes, HJN
Abstract: In [A. Shnirelman, On the non-uniqueness of weak solutions of Euler equations, Comm. Pure Appl. Math. L (1997) 1261-1286], Shnirelman described the construction of a weak solution of the 2D incompressible Euler equations on a torus, with compact support in time. In this article, we use computational tools to obtain an explicit approximation of Shnirelman's flow, with the objective of visualizing its structure. In particular, the construction was based on the use of the 2D inverse energy cascade, and we obtain an illustration on how the inverse cascade is taking place. (C) 2008 Elsevier B.V. All rights reserved.
Subject: mathematical formulations
inviscid flows with vorticity
finite difference methods
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/j.physd.2008.02.013
Date Issue: 2008
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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