Artículos de revistas
AN ESTIMATE ON THE HAUSDORFF DIMENSION OF A CONCENTRATION SET FOR THE INCOMPRESSIBLE 2-D EULER EQUATIONS
Registro en:
Indiana University Mathematics Journal. Indiana Univ Math Journal, v. 43, n. 2, n. 521, n. 534, 1994.
0022-2518
WOS:A1994PJ18200006
Autor
LOPES, HJN
Institución
Resumen
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]. 43 2 521 534