Absence of local anomalous dissipation and local energy balance in 2D incompressible flows away from the boundary

Tobias Barker, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes

For the 2D Navier-Stokes equations with no-slip boundary condition, we consider the issue of whether anomalous dissipation away from the boundary vanishes. In particular, we show t…