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Applied Mathematics and Optimization

, Volume 57, Issue 1, pp 98–124 | Cite as

Geometric Aspects of Force Controllability for a Swimming Model

  • A. Y. Khapalov
Article

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.

Keywords

Stokes equation Swimming model Coupled systems Multiplicative control Controllability 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of MathematicsWashington State UniversityPullmanUSA

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