2010 | OriginalPaper | Buchkapitel
A “Basic” 2-D Swimming Model
verfasst von : Alexander Y. Khapalov
Erschienen in: Controllability of Partial Differential Equations Governed by Multiplicative Controls
Verlag: Springer Berlin Heidelberg
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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.