Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation
arXiv:2409.01507
Abstract
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 gap for the linearized problem leads to polynomial decay, which we are able to leverage to obtain nonlinear stability.
34 pages