An elementary approach to mixing and dissipation enhancement by transport noise
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914674816057344 |
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| author | Luo, Dejun Tang, Bin Zhao, Guohuan |
| author_facet | Luo, Dejun Tang, Bin Zhao, Guohuan |
| contents | We investigate the mixing properties of solutions to the stochastic transport equation $d u= \circ d W \cdot\nabla u$, where the driving noise $W(t,x)$ is white in time, colored and divergence-free in space. Furthermore, we prove the dissipation enhancement in the presence of a small viscous term. Applying our results, we also derive the mixing properties for a regularized stochastic 2D Euler equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07484 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An elementary approach to mixing and dissipation enhancement by transport noise Luo, Dejun Tang, Bin Zhao, Guohuan Probability We investigate the mixing properties of solutions to the stochastic transport equation $d u= \circ d W \cdot\nabla u$, where the driving noise $W(t,x)$ is white in time, colored and divergence-free in space. Furthermore, we prove the dissipation enhancement in the presence of a small viscous term. Applying our results, we also derive the mixing properties for a regularized stochastic 2D Euler equation. |
| title | An elementary approach to mixing and dissipation enhancement by transport noise |
| topic | Probability |
| url | https://arxiv.org/abs/2402.07484 |