Random attractors for the stochastic Nernst-Planck-Navier-Stokes system with multiplicative white noise
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915052906348544 |
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| author | Wu, Yang-yang Yue, Gao-cheng |
| author_facet | Wu, Yang-yang Yue, Gao-cheng |
| contents | In this paper, we consider the 2D periodic stochastic Nernst-Planck-Navier-Stokes equations with body forces perturbed by multiplicative white noise. We first transform the stochastic Nernst-Planck-Navier-Stokes system into the deterministic system and address the problem of global well-posedness of the solution. Then, we generate a corresponding random dynamical system and dedicate to proving the existence of a compact random attractor for such random dynamical system. Furthermore, upper semicontinuity of the random attractor is established when the noise intensity approaches to zero. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_05521 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random attractors for the stochastic Nernst-Planck-Navier-Stokes system with multiplicative white noise Wu, Yang-yang Yue, Gao-cheng Probability Dynamical Systems In this paper, we consider the 2D periodic stochastic Nernst-Planck-Navier-Stokes equations with body forces perturbed by multiplicative white noise. We first transform the stochastic Nernst-Planck-Navier-Stokes system into the deterministic system and address the problem of global well-posedness of the solution. Then, we generate a corresponding random dynamical system and dedicate to proving the existence of a compact random attractor for such random dynamical system. Furthermore, upper semicontinuity of the random attractor is established when the noise intensity approaches to zero. |
| title | Random attractors for the stochastic Nernst-Planck-Navier-Stokes system with multiplicative white noise |
| topic | Probability Dynamical Systems |
| url | https://arxiv.org/abs/2412.05521 |