4 citations · 7 across the 4 of their papers we have counts for
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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…
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…
Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid
Paolo Antonelli, Michele Dolce, Pierangelo Marcati
In this paper, we study the linear stability properties of perturbations around the homogeneous Couette flow for a 2D isentropic compressible fluid in the domain $\mathbb{T}\times…
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…