Entropy maximizers for kinetic wave equations set on tori
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.
Authors
- Miguel Escobedo (ORCID: https://orcid.org/0000-0002-2065-4883)
- Joonhyun La (ORCID: https://orcid.org/0000-0001-9177-4818)
- Pierre Germain (ORCID: https://orcid.org/0000-0003-3148-4127)
- Angeliki Menegaki (ORCID: https://orcid.org/0000-0003-1192-3567)
Institutions
- University of the Basque Country (ES)
- Korean Institute of Architects (KR)
- Imperial College London (GB)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-09-12
- DOI
- https://doi.org/10.1112/blms.70191
- Citations
- 1
- Primary Topic
- Gas Dynamics and Kinetic Theory
- Type
- article
- Field-Weighted Citation Impact
- 3.73