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• W2002094108 abstract "As a streak of dye is advected by a chaotic flow, it stretches and folds and becomes indistinguishable from a one-dimensional idealized material line. The variation along a material line of the total stretching experienced by fluid elements is examined, and it is found that it can be decomposed into an overall time-dependent factor, constant along the line, and a smooth time-independent deviation. The stretching is related by a power law to the curvature of the line near sharp bends. This is confirmed numerically and motivated by a simple model. A conservation law for Lyapunov exponents explains deviations from a power-law." @default.
• W2002094108 created "2016-06-24" @default.
• W2002094108 creator A5002453463 @default.
• W2002094108 date "2004-11-01" @default.
• W2002094108 modified "2023-10-18" @default.
• W2002094108 title "Stretching and curvature of material lines in chaotic flows" @default.
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• W2002094108 doi "https://doi.org/10.1016/j.physd.2004.04.009" @default.
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