Locomotion and control of a self-propelled shape-changing body in a fluid

DOI10.1007/s00332-010-9084-8zbMath1222.74019arXiv0909.3860OpenAlexW1964984893MaRDI QIDQ639861

Alexandre Munnier, Thomas Chambrion

Publication date: 11 October 2011

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3860

zbMATH Keywords

ideal fluidbiomechanicsgeometric control theorylocomotion

Mathematics Subject Classification ID

Geometric methods (93B27) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (14)

Computational analysis of amoeboid swimming at low Reynolds number ⋮ An optimal control approach to ciliary locomotion ⋮ 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 ⋮ Swimming by switching ⋮ A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule ⋮ 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. ⋮ On the ``viscous incompressible fluid + rigid body system with Navier conditions ⋮ Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible fluid ⋮ One-dimensional swimmers in viscous fluids: dynamics, controllability, and existence of optimal controls ⋮ Self-propelled motion of a rigid body inside a density dependent incompressible fluid ⋮ Rough wall effect on micro-swimmers

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