Lagrangian stochastic integrals of motion in isotropic random flows
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...
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| Published in | Physics of fluids (1994) Vol. 36; no. 2 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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01.02.2024
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Sirota, V. A. Il'yn, A. S. Kopyev, A. V. Zybin, K. P. |
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| Cites_doi | 10.1016/j.physrep.2009.05.002 10.1103/PhysRevLett.110.214502 10.1070/PU1987v030n05ABEH002867 10.1103/PhysRevLett.130.154001 10.1007/s10955-016-1502-3 10.1103/PhysRevLett.80.5532 10.1017/jfm.2021.834 10.1103/PhysRevLett.127.158302 10.1017/S0022112084001488 10.1017/S0022377819000539 10.1146/annurev.fluid.010908.165210 10.1063/1.1692063 10.1103/PhysRevLett.104.154501 10.1038/s41467-022-29422-1 10.1063/5.0127698 10.1103/PhysRevE.105.064102 10.1093/mnras/stad3191 10.1146/annurev-fluid-010816-060104 10.1103/PhysRevE.60.4164 10.1007/s40766-021-00020-z 10.1103/PhysRevE.105.054130 10.1103/PhysRevLett.100.174504 10.1103/PhysRevLett.127.058701 10.1103/PhysRevLett.72.1016 10.1103/PhysRevE.107.L023101 10.1063/5.0175016 10.1063/5.0163658 10.3847/1538-4357/ac47fd 10.1103/RevModPhys.73.913 |
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