Analysis of the kinetic equation arising from the one-dimensional FPUT chain

Angeliki Menegaki

doi:10.5802/jedp.696

June 19, 2026Journées Équations aux dérivées partiellesOpen Access

Analysis of the kinetic equation arising from the one-dimensional FPUT chain

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Key Points

This analysis aims to examine the stability and classification of equilibria within the kinetic wave equation for the FPUT chain.
Review results from previous studies by Germain–La–Menegaki and Escobedo–Germain–La–Menegaki.
Prove nonlinear stability of Rayleigh–Jeans equilibria.
Classify entropy maximizers in kinetic equations from discrete systems.
Demonstrated nonlinear stability for the non-singular Rayleigh–Jeans equilibria.
Classified several entropy maximizers for a general class of kinetic equations.

Implication

Analysis Reveals Nonlinear Stability in Kinetic Wave Equation of FPUT Chain, Indicating Important Mathematical Properties.

Abstract

We briefly review the main results from Germain–La–Menegaki (2024) and Escobedo–Germain–La–Menegaki (2025) which (i) proves nonlinear stability of the non-singular Rayleigh–Jeans equilibria for the kinetic wave equation associated with the β -FPUT chain and (ii) classifies the entropy maximizers for a more general class of kinetic equations arising from such discrete systems. We briefly explain the main ideas and strategies for the proofs.

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Cite This Study

Angeliki Menegaki (2026) studied this question.

synapsesocial.com/papers/6a363040db0793dc1a5377e3 https://doi.org/10.5802/jedp.696

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Analysis of the kinetic equation arising from the one-dimensional FPUT chain

Key Points

Implication

Abstract

Discussion

Cite This Study

Analysis of the kinetic equation arising from the one-dimensional FPUT chain

Key Points

Implication

Abstract

Discussion

Cite This Study

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