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].43252153
