Entropy maximizers for kinetic wave equations set on tori
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912163706175488 |
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| author | Escobedo, Miguel Germain, Pierre La, Joonhyun Menegaki, Angeliki |
| author_facet | Escobedo, Miguel Germain, Pierre La, Joonhyun Menegaki, Angeliki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16026 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entropy maximizers for kinetic wave equations set on tori Escobedo, Miguel Germain, Pierre La, Joonhyun Menegaki, Angeliki Analysis of PDEs Mathematical Physics 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. |
| title | Entropy maximizers for kinetic wave equations set on tori |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2412.16026 |