Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/54386
Type: Artigo de periódico
Title: AN ESTIMATE ON THE HAUSDORFF DIMENSION OF A CONCENTRATION SET FOR THE INCOMPRESSIBLE 2-D EULER EQUATIONS
Author: LOPES, HJN
Abstract: A concentration set is the locus of loss of kinetic energy in a weakly convergent sequence of L(2) functions. In this paper we construct a concentration set for an approximate solution sequence of the incompressible 2-D Euler equations. S;Ve estimate its classical Hausdorff dimension and show that it is less than or equal to D, for some D < 3. This is related to the problem of existence of a solution to these equations with very singular initial data through the work of R. DiPerna and A. Majda [4], [5], [6].
Editor: Indiana Univ Math Journal
Rights: aberto
Date Issue: 1994
Appears in Collections:Unicamp - Artigos e Outros Documentos

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