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|Type:||Artigo de periódico|
|Title:||AN ESTIMATE ON THE HAUSDORFF DIMENSION OF A CONCENTRATION SET FOR THE INCOMPRESSIBLE 2-D EULER EQUATIONS|
|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 , , .|
|Editor:||Indiana Univ Math Journal|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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