Exponential mixing for the randomly forced NLS equation
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913890033467392 |
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| author | Chen, Yuxuan Xiang, Shengquan Zhang, Zhifei Zhao, Jia-Cheng |
| author_facet | Chen, Yuxuan Xiang, Shengquan Zhang, Zhifei Zhao, Jia-Cheng |
| contents | This paper investigates exponential mixing of the invariant measure for randomly forced nonlinear Schrödinger equation, with damping and random noise localized in space. Our study emphasizes the crucial role of exponential asymptotic compactness and control properties in establishing the ergodic properties of random dynamical systems. This work extends the series [15, 45] on the statistical behavior of randomly forced dispersive equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10318 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential mixing for the randomly forced NLS equation Chen, Yuxuan Xiang, Shengquan Zhang, Zhifei Zhao, Jia-Cheng Analysis of PDEs Dynamical Systems Optimization and Control Probability This paper investigates exponential mixing of the invariant measure for randomly forced nonlinear Schrödinger equation, with damping and random noise localized in space. Our study emphasizes the crucial role of exponential asymptotic compactness and control properties in establishing the ergodic properties of random dynamical systems. This work extends the series [15, 45] on the statistical behavior of randomly forced dispersive equations. |
| title | Exponential mixing for the randomly forced NLS equation |
| topic | Analysis of PDEs Dynamical Systems Optimization and Control Probability |
| url | https://arxiv.org/abs/2506.10318 |