which point they cease to do so. This time interval is much longer than what follows from brute force energy estimates, but still much shorter than for completely ‘laminar’ flows, which would behave qualitatively like 2D Euler until $t \sim \textbf{Re}$. We emphasize that, [in general]{}, results which hold for the Euler evolution need not necessarily hold for the Navier-Stokes equations at high Reynolds number. For instance, in the presence of boundaries it was shown in [@GrenierGuoNguyen14a] that a linearly spectrally stable Euler flow becomes unstable upon the addition of dissipation at large Reynolds number (see also [@DrazinReid81]). Also, the recent constructions of non-unique energy dissipative solutions of the 3D Euler equations [@deLSzeHoldCts; @DeLellisSzekelihidiBull; @isett; @buckDeLSzeOnsCrit] are not known to have an analogue in the presence of dissipation [@BTW12], with or without boundaries.

One of the consequences of our work is that will exhibit inviscid damping for $t \lesssim \textbf{Re}^{1/3}$. See [@BM13] and the references therein for an in-depth discussion of the phenomenon. The term ‘inviscid damping’ appeared after it was noticed to be the hydrodynamic analogue of *Landau damping* [@Landau46; @Ryutov99; @CagliotiMaffei98; @HwangVelazquez09; @MouhotVillani11; @BMM13] in the kinetic description of plasmas which are sufficiently collisionless (the analogue of inviscid) 