4 papers · 1 filter
Global Well-Posedness near Rayleigh-Jeans Equilibria for the Cubic NLS Wave Kinetic Equation
Miguel Escobedo, Angeliki Menegaki
We study the dynamics of the kinetic wave equation associated to the three dimensional Schrödinger equation close to Rayleigh-Jeans equilibria. We first prove that the linearised o…
Entropy maximizers for kinetic wave equations set on tori
Miguel Escobedo, Pierre Germain, Joonhyun La +1
We consider the kinetic wave equation, or phonon Boltzmann equation, set on the torus (physical system set on the lattice). We describe entropy maximizers for fixed mass and energy…
Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation
Pierre Germain, Joonhyun La, Angeliki Menegaki
We study the nonlinear dynamics of the kinetic wave equation associated to the FPU problem and prove stability of the non-singular Rayleigh-Jeans equilibria. The lack of a spectral…
Instability of singular equilibria of a wave kinetic equation
Miguel Escobedo, Angeliki Menegaki
We consider the singular Rayleigh-Jeans equilibrium of the -waves kinetic turbulence equation for the three dimensional Schrödinger equation. We first show the formation in fin…