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Titlebook: Bio-Mimetic Swimmers in Incompressible Fluids; Modeling, Well-Posed Alexander Khapalov Book 2021 The Editor(s) (if applicable) and The Auth

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发表于 2025-3-21 18:33:38 | 显示全部楼层 |阅读模式
期刊全称Bio-Mimetic Swimmers in Incompressible Fluids
期刊简称Modeling, Well-Posed
影响因子2023Alexander Khapalov
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发行地址Presents a concise mathematical theory for bio-mimetic swimmers in the framework of a coupled system of PDEs and ODEs.Builds on the authoritative research pioneered by the author over the last two dec
学科分类Advances in Mathematical Fluid Mechanics
图书封面Titlebook: Bio-Mimetic Swimmers in Incompressible Fluids; Modeling, Well-Posed Alexander Khapalov Book 2021 The Editor(s) (if applicable) and The Auth
影响因子.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 co
Pindex Book 2021
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Local Controllability of 2D and 3D Swimmers: The Case of Navier–Stokes Equations generalized Fourier series representation for solutions, employed in Chap. . for the linear non-stationary Stokes equations, is not an option for the nonlinear Navier–Stokes equations, we will elaborate on a more general scheme of proofs, already mentioned in Sect. ..
发表于 2025-3-23 02:02:07 | 显示全部楼层
Transformation of Swimmers’ Forces Acting in a 3D Incompressible Fluidin the force transformation phenomenon in the case of swimmers whose bodies consist of parallelepipeds and balls. To this end, we will follow the schemes of proofs in Chap. ., extending them to the 3D case along the ideas of A.Y. Khapalov, G. Trinh (Disc. Cont. Dyn. Sys. A .(4), 1513–1544 (2012)).
发表于 2025-3-23 07:08:34 | 显示全部楼层
Alexander KhapalovPresents a concise mathematical theory for bio-mimetic swimmers in the framework of a coupled system of PDEs and ODEs.Builds on the authoritative research pioneered by the author over the last two dec
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