On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity

We consider enstrophy dissipation in two-dimensional (2D) Navier–Stokes flows and focus on how this quantity behaves in the limit of vanishing viscosity. After recalling a number of a priori estimates providing lower and upper bounds on this quantity, we state an optimization problem aimed at probing the sharpness of these estimates as functions of viscosity. More precisely, solutions of this problem are the initial conditions with fixed …