3 citations · 7 across the 8 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…