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• W2139041678 abstract "The dynamics of a circular treadmilling low Reynolds number swimmer near a right-angled corner is studied in the asymptotic limit in which the radius of the treadmiller is small. The governing dynamical equations are found explicitly, correct to third order in the swimmer radius, by means of Mellin transform techniques. The existence of arc-like periodic orbits, or ‘hydrodynamic bound states’, in the corner region is identified, and these orbits are found to be attractors in the dynamics for a large range of initial swimmer locations and orientations. The analytical approach may be extended to wedge regions of other fractional angles." @default.
• W2139041678 created "2016-06-24" @default.
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• W2139041678 date "2012-08-15" @default.
• W2139041678 modified "2023-09-22" @default.
• W2139041678 title "Stresslet asymptotics for a treadmilling swimmer near a two-dimensional corner: hydrodynamic bound states" @default.
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• W2139041678 doi "https://doi.org/10.1098/rspa.2012.0237" @default.
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