6 papers
Two-Dimensional -plane Turbulence: Dual Cascade and Zonal Jets
Yuri Cacchiò, Amirali Hannani, Gigliola Staffilani
We derive an exact and novel expression for an averaged two-point correlation function in the statistically stationary, forced-dissipative two-dimensional Navier-Stokes equations s…
Formal Stability of Tetrahedral Non-Zonal Flows on the Sphere
Yuri Cacchiò
We investigate the formal stability of finite-amplitude non-zonal flows bifurcating from the trivial state in the unforced 2D Euler equations on the sphere. To bypass the degenerac…
The zero capillarity limit for the Euler-Korteweg system with no-flux boundary conditions
Paolo Antonelli, Yuri Cacchiò
In this article, we study the small dispersion limit of the Euler-Korteweg system in a domain with a smooth boundary and no-flux boundary conditions. We exploit a relative energy a…
Bifurcation of Tetrahedral Non-Zonal Flows in the 2D Euler Equations on a Rotating Sphere
Yuri Cacchiò
We investigate the emergence of finite-amplitude non-zonal flows on the sphere arising from stationary solutions to the 2D Euler equations. By restricting the Laplac…
On the effect of the Coriolis force on the enstrophy cascade
Yuri Cacchiò, Amirali Hannani, Gigliola Staffilani
We study the direct enstrophy cascade at small spatial scales in statistically stationary forced-dissipated 2D Navier-Stokes equations subject to the Coriolis force in the -pla…
Well-Posedness and regularity properties of 2d -plane stochastic Navier-Stokes equations in a periodic channel
Yuri Cacchio', Amirali Hannani, Gigliola Staffilani
We consider the 2d -plane stochastic Navier-Stokes equations in a periodic channel. We prove the well-posedness and existence of the stationary measure, as well as certain regu…