2 citations · 2 across the 4 of their papers we have counts for
10 papers
Enhanced dissipation for two-dimensional Hamiltonian flows
Elia Bruè, Michele Coti Zelati, Elio Marconi
Let be an autonomous, non-constant Hamiltonian on a compact -dimensional manifold, generating an incompressible velocity field . We give…
Global Existence for the Two-dimensional Kuramoto-Sivashinsky equation with a Shear Flow
Michele Coti Zelati, Michele Dolce, Yuanyuan Feng +1
We consider the Kuramoto-Sivashinsky equation (KSE) on the two-dimensional torus in the presence of advection by a given background shear flow. Under the assumption that the shear…
Stationary Structures near the Kolmogorov and Poiseuille Flows in the 2d Euler Equations
Michele Coti Zelati, Tarek M. Elgindi, Klaus Widmayer
We study the behavior of solutions to the incompressible Euler equations near two canonical shear flows with critical points, the Kolmogorov and Poiseuille flows, with consequ…
Stable mixing estimates in the infinite Péclet number limit
Michele Coti Zelati
We consider a passive scalar advected by a strictly monotone shear flow and with a diffusivity parameter . We prove an estimate on the homogeneous norm o…
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…
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 close to the Poiseuille flow, with small viscosity . Our first result concerns a semigr…