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- W1981584146 abstract "The decay of a passive scalar in a sinusoidal shear flow translating in the cross-stream direction at a constant speed u is studied in the limit of small diffusivity κ. The decay rate, obtained by solving an eigenvalue problem, is found to tend to a non-zero constant as κ→0 when u is of order κ 1/2 . This result, establishing that fast decay is possible in shear flows, is fragile however: because of the existence of pseudomodes, the addition of a small noise leads to decay rates that decrease to zero with κ as κ 2/5 ." @default.
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- W1981584146 date "2007-01-23" @default.
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- W1981584146 title "Fast scalar decay in a shear flow: modes and pseudomodes" @default.
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- W1981584146 doi "https://doi.org/10.1017/s0022112006003661" @default.
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