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A “Basic” 2-D Swimming Model

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1995)

Abstract

We introduce a “basic” mathematical model of a swimmer in a fluid, governed within a bounded 2-D domain by the nonstationary Stokes equation. Its body consists of finitely many subsequently connected small sets each of which can act upon any adjacent set in a rotation fashion with the purpose to generate its fishlike or rowingmotion. The shape of the object is maintained by respective elastic forces.

Keywords

  • Internal Force
  • Mathematical Controllability Theory
  • Respective Support
  • Swimming Model
  • Stationary Stokes Equation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Alexander Y. Khapalov .

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© 2010 Springer-Verlag Berlin Heidelberg

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Khapalov, A.Y. (2010). A “Basic” 2-D Swimming Model. In: Controllability of Partial Differential Equations Governed by Multiplicative Controls. Lecture Notes in Mathematics(), vol 1995. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12413-6_11

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