Michele Coti Zelati

activity

20142024

most citedEnhanced dissipation in the Navier-Stokes equations near the Poiseuille flow

73 citations · 201 across the 18 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019★ 1 cited

Stable mixing estimates in the infinite Péclet number limit

Michele Coti Zelati

We consider a passive scalar $f$ advected by a strictly monotone shear flow and with a diffusivity parameter $ν ≪ 1$ . We prove an estimate on the homogeneous $H ˙^{- 1}$ norm o…

math.AP2019★ 5 cited

Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations

Jacob Bedrossian, Michele Coti Zelati, Sam Punshon-Smith +1

We provide sufficient conditions for mathematically rigorous proofs of the third order universal laws capturing the energy flux to large scales and enstrophy flux to small scales f…

math.AP2019★ 73 cited

Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow

Michele Coti Zelati, Tarek M. Elgindi, Klaus Widmayer

We consider solutions to the 2d Navier-Stokes equations on $T \times R$ close to the Poiseuille flow, with small viscosity $ν > 0$ . Our first result concerns a semigr…