Explore the vanishing viscosity problem in bounded domains through this lecture by Helena Nussenzveig Lopes. Delve into sufficient conditions for the curl of solutions to 2D Navier-Stokes equations that ensure the vanishing viscosity limit is a weak solution of Euler equations. Examine how these conditions differ from the Kato criterion, allowing for consideration of weak solutions with vorticity as a locally bounded measure without atomic parts. Cover topics including energy, known results, special symmetry, assumptions on solutions, limits of smooth, summary, element maps, domain, proof, solutions, and motivation. Gain insights into this complex mathematical problem within the context of the Evolution of Interfaces program at the Hausdorff Center for Mathematics.