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

International Journal of Applied Mathematics and Computer Science (2013)

- Volume: 23, Issue: 2, page 277-290
- ISSN: 1641-876X

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topAlexander Khapalov. "The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation." International Journal of Applied Mathematics and Computer Science 23.2 (2013): 277-290. <http://eudml.org/doc/257115>.

@article{AlexanderKhapalov2013,

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.},

author = {Alexander Khapalov},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {swimming models; coupled PDE/ODE systems; nonstationary Stokes equation},

language = {eng},

number = {2},

pages = {277-290},

title = {The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation},

url = {http://eudml.org/doc/257115},

volume = {23},

year = {2013},

}

TY - JOUR

AU - Alexander Khapalov

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2013

VL - 23

IS - 2

SP - 277

EP - 290

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/257115

ER -

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