Abstract
Sections 1 and 2 summarize some of the results of [2] and [8] about isotropic stochastic flows and their stability properties. In Sections 3 and 4, stability properties of isotropic flows and certain stirring processes are related to a mean shrinkage property of a randomly chosen small segment in deterministic potential flow with compact support in R2 or R3.
Keywords
- Lyapunov Exponent
- Tangent Vector
- Stability Property
- Compact Manifold
- Potential Flow
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References
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© 1986 Springer-Verlag
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Harris, T.E. (1986). Isotropic stochastic flows and a related property of non-random potential flows. In: Itô, K., Hida, T. (eds) Stochastic Processes and Their Applications. Lecture Notes in Mathematics, vol 1203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076873
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DOI: https://doi.org/10.1007/BFb0076873
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