Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916379606646784 |
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| author | Germain, Pierre La, Joonhyun Menegaki, Angeliki |
| author_facet | Germain, Pierre La, Joonhyun Menegaki, Angeliki |
| contents | We study the nonlinear dynamics of the kinetic wave equation associated to the FPU problem and prove stability of the non-singular Rayleigh-Jeans equilibria. The lack of a spectral gap for the linearized problem leads to polynomial decay, which we are able to leverage to obtain nonlinear stability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01507 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation Germain, Pierre La, Joonhyun Menegaki, Angeliki Analysis of PDEs Mathematical Physics We study the nonlinear dynamics of the kinetic wave equation associated to the FPU problem and prove stability of the non-singular Rayleigh-Jeans equilibria. The lack of a spectral gap for the linearized problem leads to polynomial decay, which we are able to leverage to obtain nonlinear stability. |
| title | Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2409.01507 |