Work

Entropy maximizers for kinetic wave equations set on tori

Year: 2025

Type: article

Abstract: 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; our framework is very general, being valid in any dimension, for any dispersion relation, and even including the quantum kinetic wave equation. Of particular interest is the presence of condensation in certain regimes which we characterize.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70191

Authors: Miguel Escobedo, Pierre Germain, Joonhyun La, Angeliki Menegaki

Institutions: University of the Basque Country, Imperial College London, Korea Institute for Advanced Study

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Imperial College London, Eusko Jaurlaritza