Stability of Rayleigh–Jeans Equilibria in the Kinetic FPU Equation

Archive for Rational Mechanics and Analysis 2026 Open access

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Authors: Pierre Germain, Joonhyun La, Angeliki N. Menegaki
DOI: 10.1007/s00205-026-02223-2
Cited by: 0

Abstract

We study the nonlinear dynamics of the kinetic wave equation associated with the FPU problem and prove the 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.

Fields of Study & Subjects

Gas Dynamics and Kinetic Theory Fluid Dynamics and Turbulent Flows

Publication details

Journal / source
Archive for Rational Mechanics and Analysis
Volume
250
Issue
4
Pages
65–65
Publication date
7 July 2026
Language
EN