Abstract
We discuss conditions under which Lagrangian observables in time-independent two-dimensional viscous flows have continuous component in the power spectrum, demonstrate decay of correlations and possess anomalous transport characteristics. These properties are related to repeated passages of fluid particles through neighborhoods of stagnation points. Two classes of problems are considered: forced flows with arrays of stationary eddies and Stokes flows past the lattices of solid obstacles.
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Zaks, M.A. (2005). Anomalous Transport in Steady Plane Flows of Viscous Fluids. In: Collet, P., Courbage, M., Métens, S., Neishtadt, A., Zaslavsky, G. (eds) Chaotic Dynamics and Transport in Classical and Quantum Systems. NATO Science Series, vol 182. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2947-0_18
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DOI: https://doi.org/10.1007/1-4020-2947-0_18
Publisher Name: Springer, Dordrecht
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