activity
20012025
most citedHamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean

102 citations · 133 across the 8 of their papers we have counts for

collaborators

8 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…

physics.ao-ph2023★ 5 cited

Interacting internal waves explain global patterns of interior ocean mixing

Giovanni Dematteis, Arnaud Le Boyer, Friederike Pollmann +4

Across the stable density stratification of the abyssal ocean, deep dense water is slowly propelled upward by sustained, though irregular, turbulent mixing. The resulting mean upwe…

nlin.CD2018★ 26 cited

Exact discrete resonances in the Fermi-Pasta-Ulam-Tsingou system

Miguel D. Bustamante, Kevin Hutchinson, Yuri V. Lvov +1

In systems of N coupled anharmonic oscillators, exact resonant interactions play an important role in the energy exchange between normal modes. In the weakly nonlinear regime, thos…

physics.flu-dyn2014

Wave turbulence revisited: Where does the energy flow?

L. V. Abdurakhimov, I. A. Remizov, A. A. Levchenko +2

Turbulence in a system of nonlinearly interacting waves is referred to as wave turbulence. It has been known since seminal work by Kolmogorov, that turbulent dynamics is controlled…