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.
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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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DOI: https://doi.org/10.1007/978-3-642-12413-6_11
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12412-9
Online ISBN: 978-3-642-12413-6
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