Controllability and time optimal control for low Reynolds numbers swimmers

DOI10.1007/s10440-012-9760-9zbMath1255.93026OpenAlexW2148107886MaRDI QIDQ1938000

Jérôme Lohéac, Jean-François Scheid, Marius Tucsnak

Publication date: 1 February 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9760-9

zbMATH Keywords

controllabilityfluid-structure interactionStokes equationstime optimal controllow Reynolds number swimming

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Perturbations in control/observation systems (93C73) Stokes and related (Oseen, etc.) flows (76D07) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (14)

Low Reynolds number swimming and controllability ⋮ An optimal control approach to ciliary locomotion ⋮ A fully discrete adjoint method for optimization of flow problems on deforming domains with time-periodicity constraints ⋮ The control of particles in the Stokes limit ⋮ Enhanced controllability of low Reynolds number swimmers in the presence of a wall ⋮ Optimal strokes for driftless swimmers: A general geometric approach ⋮ Swim-like motion of bodies immersed in an ideal fluid ⋮ Controllability of low Reynolds numbers swimmers of ciliate type ⋮ Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. I: The linearized system. ⋮ Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. II: The nonlinear system. ⋮ Cell Motility and Locomotion by Shape Control ⋮ Analytical study for swimmers in a channel ⋮ Rough wall effect on micro-swimmers ⋮ The \(N\)-link swimmer in three dimensions: controllability and optimality results

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