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Titlebook: An Introduction to the Geometry and Topology of Fluid Flows; Renzo L. Ricca Book 2001 Springer Science+Business Media Dordrecht 2001 calcu

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发表于 2025-3-21 16:51:26 | 显示全部楼层 |阅读模式
期刊全称An Introduction to the Geometry and Topology of Fluid Flows
影响因子2023Renzo L. Ricca
视频video
学科分类NATO Science Series II: Mathematics, Physics and Chemistry
图书封面Titlebook: An Introduction to the Geometry and Topology of Fluid Flows;  Renzo L. Ricca Book 2001 Springer Science+Business Media Dordrecht 2001 calcu
影响因子Leading experts present a unique, invaluable introduction tothe study of the geometry and typology of fluid flows. From basicmotions on curves and surfaces to the recent developments in knots andlinks, the reader is gradually led to explore the fascinating world ofgeometric and topological fluid mechanics. .Geodesics and chaotic orbits, magnetic knots and vortex links,continual flows and singularities become alive with more than 160figures and examples. .In the opening article, H. K. Moffatt sets the pace, proposing eightoutstanding problems for the 21st century. The book goes on to provideconcepts and techniques for tackling these and many other interestingopen problems.
Pindex Book 2001
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发表于 2025-3-21 21:20:56 | 显示全部楼层
An Introduction to the Geometry and Topology of Fluid Flows
发表于 2025-3-22 03:33:28 | 显示全部楼层
https://doi.org/10.1007/978-3-322-92509-1present geometrical formulations are successful for all the problems considered here and give insight into deep background common to the diverse physical systems. Further, the geometrical formulation opens a new approach to various dynamical systems.
发表于 2025-3-22 07:32:21 | 显示全部楼层
Elements of Classical Knot Theoryudy of knots in the usual 3D space .. or ... It also designates knot theory before 1984. In section 1 we describe the basic facts: curves in 3D space, isotopies, knots, links and knot types. We then proceed to knot diagrams and braids. Finally we introduce the useful notion of tangle due to John Con
发表于 2025-3-22 12:40:57 | 显示全部楼层
Introduction to a Geometrical Theory of Fluid Flows and Dynamical Systemsmely it is invariant under a group transformation, and further that the group manifold is endowed with a Riemannian metric. The basic ideas and tools are described, and application to various physical systems are considered: (i) free rotation of a rigid body; (ii) geodesic equation and KdV equation
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发表于 2025-3-22 17:37:15 | 显示全部楼层
Topological Features Of Inviscid Flowsmetric properties of the fluid. Focusing first on steady Euler fields, we outline known results, giving special attention to the Beltrami fields and the contemporary topological techniques required to elucidate their dynamical features. We also propose a topological perspective for understanding the
发表于 2025-3-22 21:59:04 | 显示全部楼层
Geometric and Topological Aspects of Vortex Motionen fields and conservation laws, we discuss geometric aspects of vortex filament motion (intrinsic equations, connections with integrable dynamics and extension to higher dimensional manifolds) and the topological interpretation of kinetic helicity in terms of linking numbers. We recall basic result
发表于 2025-3-23 05:03:11 | 显示全部楼层
Measures of Topological Structure in Magnetic Fieldsstructure can be quantified using topological invariants. While topological quantities obey conservation laws in systems with no resistivity and simple boundary conditions, in more general circumstances they can change in time as the physical system evolves. Topological structure is often thought of
发表于 2025-3-23 07:30:33 | 显示全部楼层
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