Bio-mimetic swimmers in incompressible fluids : modeling, well-posedness, and controllability / Alexander Khapalov.
Khapalov, Alexander Y., author.
2021
QA901 .K53 2021eb
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Title Bio-mimetic swimmers in incompressible fluids : modeling, well-posedness, and controllability / Alexander Khapalov.
Author Khapalov, Alexander Y., author.
ISBN 9783030852856 (electronic bk.)
3030852857 (electronic bk.)
9783030852849
3030852849
DOI https://doi.org/10.1007/978-3-030-85285-6
Published Cham : Birkhäuser, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (chiefly color)
Other Standard Identifiers 10.1007/978-3-030-85285-6 doi
Call Number QA901 .K53 2021eb
Dewey Decimal Classification 532
Summary This monograph presents an original, concise mathematical theory for bio-mimetic swimmers in the framework of a coupled system of PDEs and ODEs. The authoritative research pioneered by the author serves as the basis for the method adopted here. This unique methodology consists of an original modelling approach, well-posedness results for the proposed models for swimmers, and a controllability theory that studies the steering potential of the proposed swimmers. A combination of this sort does not currently exist in the literature, making this an indispensable resource. Structured in five parts, the author establishes the main modeling approach in Part One. Part Two then presents the well-posedness results for these models. Parts Three through Five serve to develop a controllability theory for the swimmers, which are conceived of as artificial mechanical devices that imitate the swimming motion of fish, eels, frogs, and other aquatic creatures in nature. Several illustrative examples are provided in the last portion that serve as potential research topics. Bio-Mimetic Swimmers in Incompressible Fluids will appeal to graduate students and researchers studying fluid dynamics and control theory, as well as engineers interested in these areas.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed November 12, 2021).
Series Advances in mathematical fluid mechanics. Lecture notes in mathematical fluid mechanics. 2510-1382
Available in Other Form Print version: 9783030852849
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Introduction
Part I: Modeling of bio-mimetic swimmers in 2D and 3D incompressible fluids
Bio-mimetic fish-like swimmers in a 2D incompressible fluid: Empiric modeling
Bio-mimetic aquatic frog- and clam-like swimmers in a 2D fluid: Empiric modeling
Bio-mimetic swimmers in a 3D incompressible fluid: Empiric modeling
Part II: Well-posedness of models for bio-mimetic swimmers in 2D and 3D incompressible fluids
Well-posedness of 2D or 3D bio-mimetic swimmers: the case of Navier-Stokes equations
Part III: Micromotions and local controllability for bio-mimetic swimmers in 2D and 3D incompressible fluids
Local controllability of 2D and 3D swimmers: the case of non-stationary Stokes equations
Local controllability of 2D and 3D swimmers: the case of Navier-Stokes equations
Part IV: Transformations of swimmers' internal forces acting in 2D and 3D incompressible fluids
Transformation of swimmers' forces acting in a 2D incompressible fluid
Transformation of swimmers' forces acting in a 3D incompressible fluid
Part V: Global steering for bio-mimetic swimmers in 2D and 3D incompressible fluids
Swimming capabilities of swimmers in 2D and 3D incompressible fluids: Force controllability.

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