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＜電子ブック＞
The N-Vortex Problem : Analytical Techniques / by Paul K. Newton
(Applied Mathematical Sciences. ISSN:2196968X ; 145)

版	1st ed. 2001.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	2001
本文言語	英語
大きさ	XVIII, 420 p : online resource
冊子体	The N-Vortex problem : analytical techniques / Paul K. Newton
著者標目	*Newton, Paul K author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Physics LCSH:Continuum mechanics LCSH:Manifolds (Mathematics) LCSH:Computational intelligence FREE:Applications of Mathematics FREE:Classical and Continuum Physics FREE:Continuum Mechanics FREE:Manifolds and Cell Complexes FREE:Computational Intelligence
一般注記	Preface -- 1 Introduction -- 1.1 Vorticity Dynamics -- 1.2 Hamiltonian Dynamics -- 1.3 Summary of Basic Questions -- 1.4 Exercises -- 2 N Vortices in the Plane -- 2.1 General Formulation -- 2.2 N = 3 -- 2.3 N = 4 -- 2.4 Bibliographic Notes -- 2.5 Exercises -- 3 Domains with Boundaries -- 3.1 Green’s Function of the First Kind -- 3.2 Method of Images -- 3.3 Conformai Mapping Techniques -- 3.4 Breaking Integrability -- 3.5 Bibliographic Notes -- 3.6 Exercises -- 4 Vortex Motion on a Sphere -- 4.1 General Formulation -- 4.2 Dynamics of Three Vortices -- 4.3 Phase Plane Dynamics -- 4.4 3-Vortex Collapse -- 4.5 Stereographic Projection -- 4.6 Integrable Streamline Topologies -- 4.7 Boundaries -- 4.8 Bibliographic Notes -- 4.9 Exercises -- 5 Geometric Phases -- 5.1 Geometric Phases in Various Contexts -- 5.2 Phase Calculations For Slowly Varying Systems -- 5.3 Definition of the Adiabatic Hannay Angle -- 5.4 3-Vortex Problem -- 5.5 Applications -- 5.6 Exercises -- 6 Statistical Point Vortex Theories -- 6.1 Basics of Statistical Physics -- 6.2 Statistical Equilibrium Theories -- 6.3 Maximum Entropy Theories -- 6.4 Nonequilibrium Theories -- 6.5 Exercises -- 7 Vortex Patch Models -- 7.1 Introduction to Vortex Patches -- 7.2 The Kida-Neu Vortex -- 7.3 Time-Dependent Strain -- 7.4 Melander-Zabusky-Styczek Model -- 7.5 Geometric Phase for Corotating Patches -- 7.6 Viscous Shear Layer Model -- 7.7 Bibliographic Notes -- 7.8 Exercises -- 8 Vortex Filament Models -- 8.1 Introduction to Vortex Filaments and the LIE -- 8.2 DaRios-Betchov Intrinsic Equations -- 8.3 Hasimoto’s Transformation -- 8.4 LIA Invariants -- 8.5 Vortex-Stretching Models -- 8.6 Nearly Parallel Filaments -- 8.7 The Vorton Model -- 8.8 Exercises -- References Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4684-9290-3

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