Vanishing viscosity and conserved quantities for 2D incompressible flow

Weak solutions of the incompressible Euler equations which are weak limits of vanishing viscosity Navier-Stokes solutions inherit, in two dimensions,  conservation properties which are not available for general weak solutions. Research has focused on the behavior of energy and the p-moments of vorticity, always in fluid domains with no boundary. In this talk I will report on recent work in this direction.

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