Optimal Strokes at Low Reynolds Number: A Geometric and Numerical Study of Copepod and Purcell Swimmers

DOI10.1137/16M1106778zbMath1391.49032MaRDI QIDQ4643308

Jérémy Rouot, Piernicola Bettiol, Bernard Bonnard

Publication date: 24 May 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsfirst order optimality conditionssecond order optimality conditionsgeometric optimal controlSR-geometryswimming problemperiodic optimal controlPurcell swimmercopepod swimmernonunique minimizers

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Nonlinear systems in control theory (93C10) Geometric methods (93B27) Control of mechanical systems (70Q05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Sub-Riemannian geometry (53C17) Periodic optimal control problems (49N20)

Related Items

A numerical method for suspensions of articulated bodies in viscous flows, Sub-Riemannian geometry and swimming at low Reynolds number: the Copepod case, Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot

Uses Software

• Bocop
• HamPath

Cites Work

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