45 citations · 101 across the 27 of their papers we have counts for
31 papers
Smooth autonomous fast dynamo action on the three-torus
Michele Coti Zelati, Massimo Sorella, David Villringer
We construct a nonempty -open family of smooth, autonomous, divergence-free velocity fields on that generate fast dynamos. The proof proceeds by first establish…
A fast dynamo on the three-torus
Michele Coti Zelati, Massimo Sorella, David Villringer
We study the kinematic dynamo equation on the three-torus and provide a rigorous proof of fast dynamo action for a time-periodic, divergence-free, Lipschitz velocity field. Our con…
Stability analysis for active Brownian particle models
Michele Coti Zelati, Lucas Ertzbischoff, David Gerard-Varet
We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for…
A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise
Michele Coti Zelati, Martin Hairer, David Villringer
We prove a stochastic version of the classical RAGE theorem that applies to the two-point motion generated by noisy transport equations. As a consequence, we identify a necessary a…
Alpha-unstable flows and the fast dynamo problem
Michele Coti Zelati, Massimo Sorella, David Villringer
We construct a time-independent, incompressible, and Lipschitz-continuous velocity field in that generates a fast kinematic dynamo - an instability characterized by…
On the stability of viscous three-dimensional rotating Couette flow
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer
We study the stability of Couette flow in the 3d Navier-Stokes equations with rotation, as given by the Coriolis force. Hereby, the nature of linearized dynamics near Couette flow…
Three-dimensional exponential mixing and ideal kinematic dynamo with randomized ABC flows
Michele Coti Zelati, Víctor Navarro-Fernández
In this work we consider the Lagrangian properties of a random version of the Arnold-Beltrami-Childress (ABC) in a three-dimensional periodic box. We prove that the associated flow…
Entropy maximization in the two-dimensional Euler equations
Michele Coti Zelati, Matias G. Delgadino
We consider variational problem related to entropy maximization in the two-dimensional Euler equations, in order to investigate the long-time dynamics of solutions with bounded vor…
Nonlinear stability for active suspensions
Michele Coti Zelati, Helge Dietert, David Gérard-Varet
This paper is devoted to the nonlinear analysis of a kinetic model introduced by Saintillan and Shelley to describe suspensions of active rodlike particles in viscous flows. We inv…
Stability of viscous three-dimensional stratified Couette flow via dispersion and mixing
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer
This article explores the stability of stratified Couette flow in the viscous Boussinesq equations. In this system, mixing effects arise from the shearing background, and grav…
Vanishing Mach Number Limit of Stochastic Compressible Flows
Gui-Qiang G. Chen, Michele Coti Zelati, Chin Ching Yeung
We study the vanishing Mach number limit for the stochastic Navier-Stokes equations with -type pressure laws, with focus on the one-dimensional case. We prove that, if the stoch…
Statistically self-similar mixing by Gaussian random fields
Michele Coti Zelati, Theodore D. Drivas, Rishabh S. Gvalani
We study the passive transport of a scalar field by a spatially smooth but white-in-time incompressible Gaussian random velocity field on . If the velocity field …
Symmetrization and asymptotic stability in non-homogeneous fluids around stratified shear flows
Roberta Bianchini, Michele Coti Zelati, Michele Dolce
Significant advancements have emerged in the theory of asymptotic stability of shear flows in stably stratified fluids. In this comprehensive review, we spotlight these recent deve…
Explicit solutions and linear inviscid damping in the Euler-Boussinesq equation near a stratified Couette flow in the periodic strip
Michele Coti Zelati, Marc Nualart
This short note provides explicit solutions to the linearized Boussinesq equations around the stably stratified Couette flow posed on . We consider the…
Suppression of lift-up effect in the 3D Boussinesq equations around a stably stratified Couette flow
Michele Coti Zelati, Augusto Del Zotto
In this paper, we establish linear enhanced dissipation results for the three-dimensional Boussinesq equations around a stably stratified Couette flow, in the viscous and thermally…
Mixing in incompressible flows: transport, dissipation, and their interplay
Michele Coti Zelati, Gianluca Crippa, Gautam Iyer +1
In this survey, we address mixing from the point of view of partial differential equations, motivated by applications that arise in fluid dynamics. We give an account of optimal mi…
Taylor dispersion and phase mixing in the non-cutoff Boltzmann equation on the whole space
Jacob Bedrossian, Michele Coti Zelati, Michele Dolce
In this paper, we describe the long-time behavior of the non-cutoff Boltzmann equation with soft potentials near a global Maxwellian background on the whole space in the weakly col…
Exponential mixing for random dynamical systems and an example of Pierrehumbert
Alex Blumenthal, Michele Coti Zelati, Rishabh S. Gvalani
We consider the question of exponential mixing for random dynamical systems on arbitrary compact manifolds without boundary. We put forward a robust, dynamics-based framework that…
Nonlinear inviscid damping and shear-buoyancy instability in the two-dimensional Boussinesq equations
Jacob Bedrossian, Roberta Bianchini, Michele Coti Zelati +1
We investigate the long-time properties of the two-dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size $\var…
Mixing and diffusion for rough shear flows
Maria Colombo, Michele Coti Zelati, Klaus Widmayer
This article addresses mixing and diffusion properties of passive scalars advected by rough () shear flows. We show that in general, one cannot expect a rough shear flow to in…
Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows
Michele Coti Zelati, Grigorios A. Pavliotis
We study the long-time dynamics of two-dimensional linear Fokker-Planck equations driven by a drift that can be decomposed in the sum of a large shear component and the gradient of…
Linear inviscid damping for shear flows near Couette in the 2D stably stratified regime
Roberta Bianchini, Michele Coti Zelati, Michele Dolce
We investigate the linear stability of shears near the Couette flow for a class of 2D incompressible stably stratified fluids. Our main result consists of nearly optimal decay rate…
A stochastic approach to enhanced diffusion
Michele Coti Zelati, Theodore D. Drivas
We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are Hölder regular or Lipschitz continuous with critical points…
Separation of time-scales in drift-diffusion equations on
Michele Coti Zelati, Michele Dolce
We deal with the problem of separation of time-scales and filamentation in a linear drift-diffusion problem posed on the whole space . The passive scalar considered i…