3 papers
math-ph2025
On a wave kinetic equation with resonance broadening in oceanography and atmospheric sciences
Young Ho Kim, Yuri V. Lvov, Leslie M. Smith +1
In this work, we study a three-wave kinetic equation with resonance broadening arising from the theory of stratified ocean flows. Unlike Gamba-Smith-Tran(On the wave turbulence the…
nlin.CD2025
Spectral Transfers of Sign-Definite Invariants in Wave Turbulence
Nicholas R. Salvatore, Giovanni Dematteis, Yuri V. Lvov
We consider the spectral transfers of sign-definite invariants in general wave turbulence systems equipped with a wave kinetic equation. We develop a formalism to investigate and t…
nlin.CD2025
Anomalous correlators, negative frequencies and non-phase-invariant Hamiltonians in random waves
Alberto Villois, Giovanni Dematteis, Yuri V. Lvov +2
We investigate a generic non-phase invariant Hamiltonian model that governs the dynamics of nonlinear dispersive waves. We give evidence that initial data characterized by random p…