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001440628 003__ OCoLC
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001440628 020__ $$a9783030852856$$q(electronic bk.)
001440628 020__ $$a3030852857$$q(electronic bk.)
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001440628 0247_ $$a10.1007/978-3-030-85285-6$$2doi
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001440628 049__ $$aISEA
001440628 050_4 $$aQA901$$b.K53 2021eb
001440628 08204 $$a532$$223/eng/20221128
001440628 1001_ $$aKhapalov, Alexander Y.,$$eauthor.
001440628 24510 $$aBio-mimetic swimmers in incompressible fluids :$$bmodeling, well-posedness, and controllability /$$cAlexander Khapalov.
001440628 264_1 $$aCham :$$bBirkhäuser,$$c[2021]
001440628 264_4 $$c©2021
001440628 300__ $$a1 online resource :$$billustrations (chiefly color)
001440628 336__ $$atext$$btxt$$2rdacontent
001440628 337__ $$acomputer$$bc$$2rdamedia
001440628 338__ $$aonline resource$$bcr$$2rdacarrier
001440628 4901_ $$aAdvances in mathematical fluid mechanics. Lecture notes in mathematical fluid mechanics,$$x2510-1382
001440628 504__ $$aIncludes bibliographical references.
001440628 5050_ $$aIntroduction -- Part I: Modeling of bio-mimetic swimmers in 2D and 3D incompressible fluids -- Bio-mimetic fish-like swimmers in a 2D incompressible fluid: Empiric modeling -- Bio-mimetic aquatic frog- and clam-like swimmers in a 2D fluid: Empiric modeling -- Bio-mimetic swimmers in a 3D incompressible fluid: Empiric modeling -- Part II: Well-posedness of models for bio-mimetic swimmers in 2D and 3D incompressible fluids -- Well-posedness of 2D or 3D bio-mimetic swimmers: the case of Navier-Stokes equations -- Part III: Micromotions and local controllability for bio-mimetic swimmers in 2D and 3D incompressible fluids -- Local controllability of 2D and 3D swimmers: the case of non-stationary Stokes equations -- Local controllability of 2D and 3D swimmers: the case of Navier-Stokes equations -- Part IV: Transformations of swimmers' internal forces acting in 2D and 3D incompressible fluids -- Transformation of swimmers' forces acting in a 2D incompressible fluid -- Transformation of swimmers' forces acting in a 3D incompressible fluid -- Part V: Global steering for bio-mimetic swimmers in 2D and 3D incompressible fluids -- Swimming capabilities of swimmers in 2D and 3D incompressible fluids: Force controllability.
001440628 506__ $$aAccess limited to authorized users.
001440628 520__ $$aThis monograph presents an original, concise mathematical theory for bio-mimetic swimmers in the framework of a coupled system of PDEs and ODEs. The authoritative research pioneered by the author serves as the basis for the method adopted here. This unique methodology consists of an original modelling approach, well-posedness results for the proposed models for swimmers, and a controllability theory that studies the steering potential of the proposed swimmers. A combination of this sort does not currently exist in the literature, making this an indispensable resource. Structured in five parts, the author establishes the main modeling approach in Part One. Part Two then presents the well-posedness results for these models. Parts Three through Five serve to develop a controllability theory for the swimmers, which are conceived of as artificial mechanical devices that imitate the swimming motion of fish, eels, frogs, and other aquatic creatures in nature. Several illustrative examples are provided in the last portion that serve as potential research topics. Bio-Mimetic Swimmers in Incompressible Fluids will appeal to graduate students and researchers studying fluid dynamics and control theory, as well as engineers interested in these areas.
001440628 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 12, 2021).
001440628 650_0 $$aFluid mechanics$$xMathematical models.
001440628 650_0 $$aBiomimetic materials.
001440628 650_6 $$aMécanique des fluides$$xModèles mathématiques.
001440628 650_6 $$aMatériaux biomimétiques.
001440628 655_0 $$aElectronic books.
001440628 77608 $$iPrint version: $$z3030852849$$z9783030852849$$w(OCoLC)1260664683
001440628 830_0 $$aAdvances in mathematical fluid mechanics.$$pLecture notes in mathematical fluid mechanics.$$x2510-1382
001440628 852__ $$bebk
001440628 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-85285-6$$zOnline Access$$91397441.1
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001440628 980__ $$aBIB
001440628 980__ $$aEBOOK
001440628 982__ $$aEbook
001440628 983__ $$aOnline
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