標(biāo)題: Titlebook: An Introduction to the Geometry and Topology of Fluid Flows; Renzo L. Ricca Book 2001 Springer Science+Business Media Dordrecht 2001 calcu [打印本頁] 作者: corrupt 時(shí)間: 2025-3-21 16:51
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書目名稱An Introduction to the Geometry and Topology of Fluid Flows讀者反饋
書目名稱An Introduction to the Geometry and Topology of Fluid Flows讀者反饋學(xué)科排名
作者: 容易懂得 時(shí)間: 2025-3-21 21:20
An Introduction to the Geometry and Topology of Fluid Flows作者: 殺子女者 時(shí)間: 2025-3-22 03:33
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.作者: Dedication 時(shí)間: 2025-3-22 07:32
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作者: conjunctivitis 時(shí)間: 2025-3-22 12:40
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 作者: 圖畫文字 時(shí)間: 2025-3-22 14:25 作者: initiate 時(shí)間: 2025-3-22 17:37
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作者: Flinch 時(shí)間: 2025-3-22 21:59
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作者: Infraction 時(shí)間: 2025-3-23 05:03
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作者: 爆米花 時(shí)間: 2025-3-23 07:30 作者: 起草 時(shí)間: 2025-3-23 13:05
Variational Principles, Geometry and Topology of Lagrangian-Averaged Fluid Dynamicsirculation theorem of the LA flow and, hence, for its convection of potential vorticity and its conservation of helicity. Lagrangian averaging also preserves the Euler-Poincaré (EP) variational framework that implies the LA fluid equations. This is expressed in the Lagrangian-averaged Euler- Poincar作者: Allergic 時(shí)間: 2025-3-23 16:33 作者: Initiative 時(shí)間: 2025-3-23 21:46 作者: 流行 時(shí)間: 2025-3-24 02:02
https://doi.org/10.1007/978-3-531-90599-0 differences of both types of reconnection are discussed. The transition to three-dimensional configurations shows to require a more general framework, which is found in the covariant generalization of flux conservation.作者: tooth-decay 時(shí)間: 2025-3-24 03:44
The Geometry of Reconnection differences of both types of reconnection are discussed. The transition to three-dimensional configurations shows to require a more general framework, which is found in the covariant generalization of flux conservation.作者: 親愛 時(shí)間: 2025-3-24 08:00
https://doi.org/10.1007/978-3-658-30014-2 can be applied to a specific flow exhibiting secondary flow in the form of vortex breakdown. We describe how the possibility of chaotic streamlines in 3-dimensional flow complicates the classification of patterns in this case.作者: 誘騙 時(shí)間: 2025-3-24 11:30 作者: Factual 時(shí)間: 2025-3-24 17:26
Empirische Ergebnisse zu Feedback-Modellen, we give a brief description of some knot families: alternating knots, two-bridge knots, torus knots. Within each family, the classification problem is solved. In section 4 we indicate two ways to introduce some structure in knot types: via ideal knots and via the knot complement.作者: overshadow 時(shí)間: 2025-3-24 20:49 作者: kidney 時(shí)間: 2025-3-25 00:38
Elements of Classical Knot Theory we give a brief description of some knot families: alternating knots, two-bridge knots, torus knots. Within each family, the classification problem is solved. In section 4 we indicate two ways to introduce some structure in knot types: via ideal knots and via the knot complement.作者: canonical 時(shí)間: 2025-3-25 03:28 作者: acolyte 時(shí)間: 2025-3-25 11:23
Streamline Patterns and Their Bifurcations Using Methods from Dynamical Systems can be applied to a specific flow exhibiting secondary flow in the form of vortex breakdown. We describe how the possibility of chaotic streamlines in 3-dimensional flow complicates the classification of patterns in this case.作者: arthroplasty 時(shí)間: 2025-3-25 13:25 作者: temperate 時(shí)間: 2025-3-25 17:27 作者: 高度贊揚(yáng) 時(shí)間: 2025-3-25 20:50
1568-2609 res 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.978-1-4020-0207-6978-94-010-0446-6Series ISSN 1568-2609 作者: amorphous 時(shí)間: 2025-3-26 03:23 作者: DEAWL 時(shí)間: 2025-3-26 06:16
Die Einführung der Kapitalmarktaufsichthe contemporary topological techniques required to elucidate their dynamical features. We also propose a topological perspective for understanding the global dynamics of the Euler equations on the space of velocity fields.作者: 貪婪的人 時(shí)間: 2025-3-26 10:36 作者: KIN 時(shí)間: 2025-3-26 13:55
,Gegner und Verbündete in der Kohlenkrise,eserves the Euler-Poincaré (EP) variational framework that implies the LA fluid equations. This is expressed in the Lagrangian-averaged Euler- Poincaré (LAEP) theorem proven here and illustrated for the Lagrangian average Euler (LAE) equations.作者: 使饑餓 時(shí)間: 2025-3-26 17:25 作者: 親密 時(shí)間: 2025-3-26 22:09
Geometric and Topological Aspects of Vortex Motion extension to higher dimensional manifolds) and the topological interpretation of kinetic helicity in terms of linking numbers. We recall basic results on evolution of vortex knots and links and outline possible applications of algebraic, geometric and topological measures to evaluate structural complexity of vortex flows.作者: WAIL 時(shí)間: 2025-3-27 02:05 作者: 起波瀾 時(shí)間: 2025-3-27 07:51 作者: 通知 時(shí)間: 2025-3-27 09:36 作者: 青少年 時(shí)間: 2025-3-27 16:45
https://doi.org/10.1007/978-3-658-30014-2rameters are varied, and show how normal form theory can be used to simplify the differential equations that describe the streamlines. The approach is used to obtain a basic qualitative description of separation and attachment close to a wall and to axisymmetric flow, and we illustrate how the ideas作者: 疏忽 時(shí)間: 2025-3-27 20:19
Die Einführung der Kapitalmarktaufsichtmetric 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作者: escalate 時(shí)間: 2025-3-28 01:24
https://doi.org/10.1007/978-3-658-30014-2en 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作者: 公理 時(shí)間: 2025-3-28 04:10
,Gegner und Verbündete in der Kohlenkrise,structure 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作者: 躲債 時(shí)間: 2025-3-28 07:38
https://doi.org/10.1007/978-3-531-90599-0g geodesics is the variational method: we are looking for the shortest path connecting two fluid configurations. In the three dimensional case this approach meets serious difficulties, but in two dimensions it brings a partial success: there exists a reasonable generalized solution of variational pr作者: 集合 時(shí)間: 2025-3-28 13:12
,Gegner und Verbündete in der Kohlenkrise,irculation theorem of the LA flow and, hence, for its convection of potential vorticity and its conservation of helicity. Lagrangian averaging also preserves the Euler-Poincaré (EP) variational framework that implies the LA fluid equations. This is expressed in the Lagrangian-averaged Euler- Poincar作者: 亞當(dāng)心理陰影 時(shí)間: 2025-3-28 17:12
https://doi.org/10.1007/978-3-531-90599-0s in the form of magnetic reconnection in plasmas. In both cases a divergence-free field, the magnetic or the vorticity field, respectively, alter the topology of their field lines. A first definition of the process in two dimensions is given, which is wide enough to cover both forms of reconnection作者: Maximizer 時(shí)間: 2025-3-28 20:03 作者: 故意 時(shí)間: 2025-3-28 23:36
https://doi.org/10.1007/978-3-642-94177-1Some fluid dynamical problems having a topological flavour are briefly reviewed, and some further problems having at least a topological starting point are posed.作者: Abduct 時(shí)間: 2025-3-29 03:25 作者: 懸崖 時(shí)間: 2025-3-29 08:31
https://doi.org/10.1007/978-3-642-94176-4This is a transcription of a series of 4 lectures presented at the Newton Institute in December 2000 to an audience of fluid dynamicists and an astrophysicist. It explains how to use two of the simplest yet effective topological tools: intersection number and degree of a map.作者: transient-pain 時(shí)間: 2025-3-29 14:20
Zusammenfassung der Ergebnisse,This paper concentrates on the construction of invariants of knots, such as the Jones polynomials and the Vassiliev invariants, and the relationships of these invariants to other mathematics (such as Lie algebras).作者: 無法解釋 時(shí)間: 2025-3-29 15:33 作者: Additive 時(shí)間: 2025-3-29 20:51 作者: TRAWL 時(shí)間: 2025-3-30 00:21 作者: 厭煩 時(shí)間: 2025-3-30 06:01 作者: 苦笑 時(shí)間: 2025-3-30 11:06 作者: 熔巖 時(shí)間: 2025-3-30 14:03
An Introduction to Knot TheoryThis paper concentrates on the construction of invariants of knots, such as the Jones polynomials and the Vassiliev invariants, and the relationships of these invariants to other mathematics (such as Lie algebras).作者: fluffy 時(shí)間: 2025-3-30 18:14 作者: 削減 時(shí)間: 2025-3-30 22:32
Topology Bounds the EnergyWe survey several results related to topological obstructions to energy relaxation of a magnetic field in a perfectly conducting medium.作者: 小步走路 時(shí)間: 2025-3-31 01:02 作者: 輕率看法 時(shí)間: 2025-3-31 05:58
978-1-4020-0207-6Springer Science+Business Media Dordrecht 2001作者: 仲裁者 時(shí)間: 2025-3-31 11:59
An Introduction to the Geometry and Topology of Fluid Flows978-94-010-0446-6Series ISSN 1568-2609 作者: 乳汁 時(shí)間: 2025-3-31 14:47
10樓作者: fodlder 時(shí)間: 2025-3-31 19:42
10樓作者: 品牌 時(shí)間: 2025-3-31 22:16
10樓
