5 papers · 1 filter
Long time strong Sobolev instability for quasilinear NLS
Yuri Cacchiò, Filippo Giuliani, Felice Iandoli +1
We prove long-time strong Sobolev instability for a class of quasilinear Schrödinger equations on arising, via the Madelung transform, in the description of Euler-Kor…
Local Bifurcations from Single-Mode Traveling Waves in the Filamentation Equation
Yuri Cacchiò
We study local bifurcations from the single-mode traveling wave family of the filamentation equation on the torus, within the real positive-frequency Sobolev space . A Fourier…
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…
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…