we first discuss the inviscid limit of the global energy dissipation of leray solutions of incompressible navier-stokes on the torus. assuming that the solutions have besov norms bounded uniformly in viscosity, we establish an upper bound on energy dissipation. as a consequence, onsager-type ``quasi-singularities'' are required in the leray solutions, even if the total energy dissipation is vanishes in the limit v $\rightarrow$ 0. next, we discuss an extension of onsager's conjecture for domains with solid boundaries. we give a localized regularity condition for energy conservation of weak solutions of the euler equations assuming (local) besov regularity of the velocity with exponent >1/3 and, on an arbitrary thin layer around the boundary, boundedness of velocity, pressure and continuity of the wall-normal velocity. we also prove that the global viscous dissipation vanishes in the inviscid limit for leray-hopf solutions of the navier-stokes equations under the similar assumptions, but holding uniformly in a vanishingly thin viscous boundary layer. finally, if a strong euler solution exists, we show that equicontinuity at the boundary within a o(v) strip alone suffices to conclude the absence of anomalous dissipation. the talk concerns joint work with g. eyink and h.q. nguyen.