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Geometric Aspects of Force Controllability for a Swimming Model

Geometric Aspects of Force Controllability for a Swimming Model We study controllability properties (swimming capabilities) of a mathematical model of an abstract object which “swims” in the 2- D Stokes fluid. Our goal is to investigate how the geometric shape of this object affects the forces acting upon it. Such problems are of interest in biology and engineering applications dealing with propulsion systems in fluids. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Geometric Aspects of Force Controllability for a Swimming Model

Applied Mathematics and Optimization , Volume 57 (1) – Feb 1, 2008

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References (25)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science+Business Media, LLC
Subject
Mathematics; Numerical and Computational Methods ; Mathematical Methods in Physics; Mathematical and Computational Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/s00245-007-9013-x
Publisher site
See Article on Publisher Site

Abstract

We study controllability properties (swimming capabilities) of a mathematical model of an abstract object which “swims” in the 2- D Stokes fluid. Our goal is to investigate how the geometric shape of this object affects the forces acting upon it. Such problems are of interest in biology and engineering applications dealing with propulsion systems in fluids.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Feb 1, 2008

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