DOI: 10.5802/jedp.696 ISSN: 0752-0360

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

Angeliki Menegaki
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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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