Invariant measures for stochastic Burgers equation in unbounded domains with space-time white noise
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929681153916928 |
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| author | Liu, Zhenxin Shi, Zhiyuan |
| author_facet | Liu, Zhenxin Shi, Zhiyuan |
| contents | In this paper, we investigate the stochastic damped Burgers equation with multiplicative space-time white noise defined on the entire real line. We prove the existence and uniqueness of a mild solution of the stochastic damped Burgers equation in the weighted space and establish that the solution is bounded in probability. Furthermore, by using the Krylov-Bogolioubov theorem, we obtain the existence of invariant measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15349 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant measures for stochastic Burgers equation in unbounded domains with space-time white noise Liu, Zhenxin Shi, Zhiyuan Dynamical Systems Probability 35Q35, 35R60, 60H15 In this paper, we investigate the stochastic damped Burgers equation with multiplicative space-time white noise defined on the entire real line. We prove the existence and uniqueness of a mild solution of the stochastic damped Burgers equation in the weighted space and establish that the solution is bounded in probability. Furthermore, by using the Krylov-Bogolioubov theorem, we obtain the existence of invariant measures. |
| title | Invariant measures for stochastic Burgers equation in unbounded domains with space-time white noise |
| topic | Dynamical Systems Probability 35Q35, 35R60, 60H15 |
| url | https://arxiv.org/abs/2401.15349 |