Lagrangian stochastic integrals of motion in isotropic random flows
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866912853609414656 |
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| author | Sirota, V. A. Il'yn, A. S. Kopyev, A. V. Zybin, K. P. |
| author_facet | Sirota, V. A. Il'yn, A. S. Kopyev, A. V. Zybin, K. P. |
| contents | A set of exact integrals of motion is found for systems driven by homogenous isotropic stochastic flow. The integrals of motion describe the evolution of (hyper-)surfaces of different dimensions transported by the flow, and can be expressed in terms of local surface densities. The expression for the integrals is universal: it represents general geometric properties and does not depend on the statistics of the specific flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05343 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lagrangian stochastic integrals of motion in isotropic random flows Sirota, V. A. Il'yn, A. S. Kopyev, A. V. Zybin, K. P. Fluid Dynamics Mathematical Physics Chaotic Dynamics A set of exact integrals of motion is found for systems driven by homogenous isotropic stochastic flow. The integrals of motion describe the evolution of (hyper-)surfaces of different dimensions transported by the flow, and can be expressed in terms of local surface densities. The expression for the integrals is universal: it represents general geometric properties and does not depend on the statistics of the specific flow. |
| title | Lagrangian stochastic integrals of motion in isotropic random flows |
| topic | Fluid Dynamics Mathematical Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2311.05343 |