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Paper details
Number 2 - June 2013
Volume 23 - 2013
The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation
Alexander Khapalov
Abstract
We introduce and investigate the well-posedness of a model describing the self-propelled motion of a small abstract swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation, typically associated with low Reynolds numbers. It is assumed that the swimmer’s body consists of finitely many subsequently connected parts, identified with the fluid they occupy, linked by rotational and elastic Hooke forces. Models like this are of interest in biological and engineering applications dealing with the study and design of propulsion systems in fluids.
NOTE: An addendum to the paper was published in 2013, Vol. 23, No. 4.
Keywords
swimming models, coupled PDE/ODE systems, nonstationary Stokes equation