4 citations · 7 across the 4 of their papers we have counts for
6 papers
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…
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…
Linear stability analysis for 2D shear flows near Couette in the isentropic Compressible Euler equations
Paolo Antonelli, Michele Dolce, Pierangelo Marcati
In this paper, we investigate linear stability properties of the 2D isentropic compressible Euler equations linearized around a shear flow given by a monotone profile, close to the…
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…
Nonlinear inviscid damping for zero mean perturbation of the 2D Euler Couette flow
Michele Dolce
In this note we revisit the proof of Bedrossian and Masmoudi [arXiv:1306.5028] about the inviscid damping of planar shear flows in the 2D Euler equations under the assumption of ze…
Artificial compressibility method for the Navier-Stokes-Maxwell-Stefan system
Michele Dolce, Donatella Donatelli
The Navier-Stokes-Maxwell-Stefan system describes the dynamics of an incompressible gaseous mixture in isothermal condition. In this paper we set up an artificial compressibility t…