Concentration-cancellation phenomena for the velocity fields in incompressible fluid flows

A more intuitive sufficient condition is given for the concentration cancellation phenomena in 2- or 3-D incompressible fluid flows; that is, if the projection of concentration set of the weak-star defect measure associated with the approximate solution sequence onto space R-x(n) (n = 2, 3) is a set with Hausdorff dimension less than 1, then the weak-L-2 limit of the approximate solution sequence is a classical weak solution of Euler equation. Using this condition, an example is given to elucidate concentration-cancellation phenomena.