Creator:

Khapalov, Alexander

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

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

Group publication title:

AMCS, Volume 23 (2013)

Subject and Keywords:

swimming models ; coupled PDE/ODE systems ; nonstationary Stokes equation

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2013

Resource Type:

artykuł

DOI:

10.2478/amcs-2013-0021

Pages:

277-290

Source:

AMCS, volume 23, number 2 (2013) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego