ÍâÍøÌìÌÃ

Zoom link:Ìý

We exhibit a large family of new, non-trivial stationary states ofÌýanalytic regularity, that are arbitrarily close to theÌýKolmogorovÌýflow on theÌýsquare torus. Our construction of these stationary states builds on aÌýdegeneracy in the global structure of theÌýKolmogorovÌýflow. This is in contrastÌýwith both theÌýKolmogorovÌýflow on a rectangular torus and the Poiseuille flowÌýin a channel, for which we can show that the only stationary states near themÌýmust be shears. This has surprising consequences in the context of inviscidÌýdamping in 2D Euler and enhanced dissipation in Navier-Stokes.

Ìý