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

100%

Khapalov A.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 4

905-906

In this addendum we address some unintentional omission in the description of the swimming model in our recent paper (Khapalov, 2013).

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

100%

Khapalov A.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 2

277-290

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.

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2 International Journal of Applied Mathematics and Computer Science

2 Khapalov A.

2 2013

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

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