Well-posedness and applications of classical elastohydrodynamics for a swimming filament

Yoichiro Mori, Laurel Ohm

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider a classical elastohydrodynamic model of an inextensible filament undergoing planar motion in R 3 . The hydrodynamics are described by resistive force theory, and the fibre elasticity is governed by Euler-Bernoulli beam theory. Our aim is twofold: (1) Serve as a starting point for developing the mathematical analysis of filament elastohydrodynamics, particularly the analytical treatment of an inextensibility constraint, and (2) As an application, prove conditions on internal fibre forcing that allow a free-ended filament to swim. Our analysis of fibre swimming speed is supplemented with a numerical optimization of the internal fibre forcing, as well as a novel numerical method for simulating an inextensible swimmer.

Original languageEnglish (US)
Pages (from-to)1799-1839
Number of pages41
Issue number3
StatePublished - Mar 1 2023
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


  • filament elastohydrodynamics
  • inextensibility
  • swimming at low Reynolds number


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