73 citations · 201 across the 18 of their papers we have counts for
19 papers
Ill-posedness of the hydrostatic Euler-Boussinesq equations and failure of hydrostatic limit
Roberta Bianchini, Michele Coti Zelati, Lucas Ertzbischoff
We investigate the hydrostatic approximation for inviscid stratified fluids, described by the two-dimensional Euler-Boussinesq equations in a periodic channel. Through a perturbati…
Limiting absorption principles and linear inviscid damping in the Euler-Boussinesq system in the periodic channel
Michele Coti Zelati, Marc Nualart
We consider the long-time behavior of solutions to the two dimensional non-homogeneous Euler equations under the Boussinesq approximation posed on a periodic channel. We study the…
Diffusion enhancement and Taylor dispersion for rotationally symmetric flows in discs and pipes
Michele Coti Zelati, Michele Dolce, Chia-Chun Lo
In this note, we study the long-time dynamics of passive scalars driven by rotationally symmetric flows. We focus on identifying precise conditions on the velocity field in order t…
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…
Orientation mixing in active suspensions
Michele Coti Zelati, Helge Dietert, David Gérard-Varet
We study a popular kinetic model introduced by Saintillan and Shelley for the dynamics of suspensions of active elongated particles where the particles are described by a distribut…
Enhanced dissipation and Taylor dispersion in higher-dimensional parallel shear flows
Michele Coti Zelati, Thierry Gallay
We consider the evolution of a passive scalar advected by a parallel shear flow in an infinite cylinder with bounded cross section, in arbitrary space dimension. The essential para…
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…
A noise-induced transition in the Lorenz system
Michele Coti Zelati, Martin Hairer
We consider a stochastic perturbation of the classical Lorenz system in the range of parameters for which the origin is the global attractor. We show that adding noise in the last…
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…
A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations
Jacob Bedrossian, Michele Coti Zelati, Samuel Punshon-Smith +1
We prove that statistically stationary martingale solutions of the 3D Navier-Stokes equations on subjected to white-in-time (colored-in-space) forcing satisfy the Ko…
Invariant measures for the stochastic one-dimensional compressible Navier-Stokes equations
Michele Coti Zelati, Nathan Glatt-Holtz, Konstantina Trivisa
We investigate the long-time behavior of solutions to a stochastically forced one-dimensional Navier-Stokes system, describing the motion of a compressible viscous fluid, in the ca…
On degenerate circular and shear flows: the point vortex and power law circular flows
Michele Coti Zelati, Christian Zillinger
We consider the problem of asymptotic stability and linear inviscid damping for perturbations of a point vortex and similar degenerate circular flows. Here, key challenges include…
Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations
Jacob Bedrossian, Michele Coti Zelati, Vlad Vicol
Coherent vortices are often observed to persist for long times in turbulent 2D flows even at very high Reynolds numbers and are observed in experiments and computer simulations to…
Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows
Jacob Bedrossian, Michele Coti Zelati
We analyze the decay and instant regularization properties of the evolution semigroups generated by two-dimensional drift-diffusion equations in which the scalar is advected by a s…
Invariant measures for passive scalars in the small noise inviscid limit
Jacob Bedrossian, Michele Coti Zelati, Nathan Glatt-Holtz
We consider a class of invariant measures for a passive scalar driven by an incompressible velocity field , on a -dimensional periodic domain, satisfying $$…
Singular limits of Voigt models in fluid dynamics
Michele Coti Zelati, Ciprian G. Gal
We investigate the long-term behavior, as a certain regularization parameter vanishes, of the three-dimensional Navier-Stokes-Voigt model of a viscoelastic incompressible fluid. We…