Introduction to the Geometry and Topology of Fluid Flows

Inbunden, Engelska, 2001

2 699 kr

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An introduction to the study of the geometry and typology of fluid flows. From basic motions on curves and surfaces to the recent developments in knots and links, the reader is gradually led to explore the world of geometric and topological fluid mechanics. This volume examines geodesics and chaotic orbits, magnetic knots and vortex links, continual flows and singularities. It contains more than 160 figures and examples. In the opening article, H.K. Moffatt proposes eight outstanding problems for the 21st century. The book goes on to provide concepts and techniques for tackling these and many other open problems.

Produktinformation

Utgivningsdatum2001-11-30
Mått155 x 235 x 25 mm
Vikt711 g
FormatInbunden
SpråkEngelska
SerieNATO Science Series II: Mathematics, Physics and Chemistry
Antal sidor347
Upplaga2001
FörlagKluwer Academic Publishers
ISBN9781402002069

Tillhör följande kategorier

I. Eight Problems for the XXI Century.- Some Remarks on Topological Fluid Mechanics.- II. Mathematics Background.- Differential Geometry of Curves and Surfaces.- Topology in Four Days.- Elements of Classical Knot Theory.- An Introduction to Knot Theory.- Fluid Mechanics and Mathematical Structures.- III. Geometry and Topology Of Fluid Flows.- to a Geometrical Theory of Fluid Flows and Dynamical Systems.- Streamline Patterns and their Bifurcations Using Methods from Dynamical Systems.- Topological Features of Inviscid Flows.- Geometric and Topological Aspects of Vortex Motion.- Topology Bounds the Energy.- Measures of Topological Structure in Magnetic Fields.- Diffeomorphisms, Braids and Flows.- Variational Principles, Geometry and Topology of Lagrangian-Averaged Fluid Dynamics.- IV. Reconnections and Singularities.- The Geometry of Reconnection.- Euler Singularities from the Lagrangian Viewpoint.- Analysis of a Candidate Flow for Hydrodynamic Blowup.