東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Bio-mimetic swimmers in incompressib...

Khapalov, Alexander Y.

Linked to FindBook

Google Book

Amazon

博客來

Bio-mimetic swimmers in incompressible fluids = modeling, well-posedness, and controllability /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Bio-mimetic swimmers in incompressible fluids/ by Alexander Khapalov.
Reminder of title:	modeling, well-posedness, and controllability /
Author:	Khapalov, Alexander Y.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xiii, 173 p. :ill. (chiefly col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Fluid mechanics - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-030-85285-6
ISBN:	9783030852856

Bio-mimetic swimmers in incompressible fluids = modeling, well-posedness, and controllability /
Khapalov, Alexander Y.

Bio-mimetic swimmers in incompressible fluidsmodeling, well-posedness, and controllability /[electronic resource] :by Alexander Khapalov. - Cham :Springer International Publishing :2021. - xiii, 173 p. :ill. (chiefly col.), digital ;24 cm. - Lecture notes in mathematical fluid mechanics,2510-1382. - Lecture notes in mathematical fluid mechanics..

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.

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.

ISBN: 9783030852856

Standard No.: 10.1007/978-3-030-85285-6doiSubjects--Topical Terms:

909667
Fluid mechanics
--Mathematical models.

LC Class. No.: QA901 / .K53 2021

Dewey Class. No.: 532

Bio-mimetic swimmers in incompressible fluids = modeling, well-posedness, and controllability /
LDR:03625nmm a2200349 a 4500 001 2253781
003 DE-He213
005 20211027110519.0
006 m d
007 cr nn 008maaau
008 220327s2021 sz s 0 eng d
020 $a 9783030852856 $q (electronic bk.)
020 $a 9783030852849 $q (paper)
024 7 $a 10.1007/978-3-030-85285-6 $2 doi
035 $a 978-3-030-85285-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA901 $b .K53 2021
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
072 7 $a TBJ $2 thema
082 0 4 $a 532 $2 23
090 $a QA901 $b .K45 2021
100 1 $a Khapalov, Alexander Y. $3 1076823
245 1 0 $a Bio-mimetic swimmers in incompressible fluids $h [electronic resource] : $b modeling, well-posedness, and controllability / $c by Alexander Khapalov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2021.
300 $a xiii, 173 p. : $b ill. (chiefly col.), digital ; $c 24 cm.
490 1 $a Lecture notes in mathematical fluid mechanics, $x 2510-1382
505 0 $a 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.
520 $a 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.
650 0 $a Fluid mechanics $x Mathematical models. $3 909667
650 0 $a Biomimetic materials. $3 1567269
650 1 4 $a Mathematical Modeling and Industrial Mathematics. $3 891089
650 2 4 $a Mathematical and Computational Biology. $3 1566274
650 2 4 $a Materials Science, general. $3 927806
650 2 4 $a Control and Systems Theory. $3 3381515
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematical fluid mechanics. $3 3383562
856 4 0 $u https://doi.org/10.1007/978-3-030-85285-6
950 $a Mathematics and Statistics (SpringerNature-11649)