<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation

Department of Mathematics Washington State University, Pullman, WA 99164-3113, USA

International Journal of Applied Mathematics and Computer Science

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...

The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation

Published Online: Jun 28, 2013

Page range: 277 - 290

DOI: https://doi.org/10.2478/amcs-2013-0021

This content is open access.