1 citations · 4 across the 9 of their papers we have counts for
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Ill-posedness of the hydrostatic Euler-Boussinesq equations and failure of hydrostatic limit
Roberta Bianchini, Michele Coti Zelati, Lucas Ertzbischoff
We investigate the hydrostatic approximation for inviscid stratified fluids, described by the two-dimensional Euler-Boussinesq equations in a periodic channel. Through a perturbati…
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…
Limiting absorption principles and linear inviscid damping in the Euler-Boussinesq system in the periodic channel
Michele Coti Zelati, Marc Nualart
We consider the long-time behavior of solutions to the two dimensional non-homogeneous Euler equations under the Boussinesq approximation posed on a periodic channel. We study the…
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…