Optimal strokes for low Reynolds number swimmers: an example
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Publication:948931
DOI10.1007/s00332-007-9013-7zbMath1146.76062OpenAlexW1964211981WikidataQ59202249 ScholiaQ59202249MaRDI QIDQ948931
Aline Lefebvre, François Alouges, Antonio De Simone
Publication date: 16 October 2008
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-007-9013-7
Control/observation systems governed by partial differential equations (93C20) Biomechanics (92C10) Biopropulsion in water and in air (76Z10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Impulsive control of Lagrangian systems and locomotion in fluids
- Control theory from the geometric viewpoint.
- Problems and progress in microswimming
- Locomotion of articulated bodies in a perfect fluid
- On the analyticity of the solutions of linear elliptic systems of partial differential equations
- Shape optimization of a sheet swimming over a thin liquid layer
- Brownian diffusion of particles with hydrodynamic interaction
- On self-propulsion of micro-machines at low Reynolds number: Purcells three-link swimmer
- Analysis of the swimming of microscopic organisms
- On the squirming motion of nearly spherical deformable bodies through liquids at very small reynolds numbers
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