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|Type:||Artigo de periódico|
|Title:||Concentration Sets For 2d Incompressible Flow|
Nussenzveig Lopes H.J.
|Abstract:||We recall the definition of DiPerna-Majda concentration sets and their role in the study of existence for the incompressible 2D Euler equations with singular initial data. We review examples of concentration-cancellation, focusing on the issue of dynamic kinetic energy defects for the limit flows. We also describe a recent refined estimate of the dimension of (sequential) concentrations which depends on additional temporal regularity. Finally, we discuss the possibility of obtaining the temporal regularity apriori for smooth solutions and a related problem of controlling the evolution of the support of vorticity.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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