13 citations · 31 across the 15 of their papers we have counts for
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Initial layer instability of the kinetic Lamb-Oseen Vortex
Michele Dolce, Isabelle Gallagher
It is well-known that solutions to the incompressible Navier-Stokes system are limits in various contexts (weak or strong), of solutions to the Boltzmann equation, when the Mach an…
On the convergence rates of discrete solutions to the Wave Kinetic Equation
Michele Dolce, Ricardo Grande
In this paper, we consider the long-term behavior of some special solutions to the Wave Kinetic Equation (WKE). This equation provides a mesoscopic description of wave systems inte…
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…
Stability threshold of the 2D Couette flow in a homogeneous magnetic field using symmetric variables
Michele Dolce
We consider a 2D incompressible and electrically conducting fluid in the domain . The aim is to quantify stability properties of the Couette flow $(y,0)…
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…
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…