Ricca, Renzo L.
Overview
Works:  4 works in 40 publications in 1 language and 795 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Publication Timeline
.
Most widely held works by
Renzo L Ricca
Lectures on topological fluid mechanics : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 210,
2001 by
De Witt L Sumners(
Book
)
22 editions published in 2009 in English and held by 211 WorldCat member libraries worldwide
Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wideranging collection of uptodate, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material
22 editions published in 2009 in English and held by 211 WorldCat member libraries worldwide
Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wideranging collection of uptodate, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material
An introduction to the geometry and topology of fluid flows(
Book
)
14 editions published in 2001 in English and held by 118 WorldCat member libraries worldwide
14 editions published in 2001 in English and held by 118 WorldCat member libraries worldwide
Geometric and topological aspects of vortex filament motion by
Renzo L Ricca(
)
3 editions published in 1993 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1993 in English and held by 3 WorldCat member libraries worldwide
An Introduction to the Geometry and Topology of Fluid Flows by
Renzo L Ricca(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Leading experts present a unique, invaluable 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 fascinating world of geometric and topological fluid mechanics. <br/> Geodesics and chaotic orbits, magnetic knots and vortex links, continual flows and singularities become alive with more than 160 figures and examples. <br/> In the opening article, H.K. Moffatt sets the pace, proposing eight outstanding problems for the 21st century. The book goes on to provide concepts and techniques for tackling these and many other interesting open problems
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Leading experts present a unique, invaluable 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 fascinating world of geometric and topological fluid mechanics. <br/> Geodesics and chaotic orbits, magnetic knots and vortex links, continual flows and singularities become alive with more than 160 figures and examples. <br/> In the opening article, H.K. Moffatt sets the pace, proposing eight outstanding problems for the 21st century. The book goes on to provide concepts and techniques for tackling these and many other interesting open problems
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Berger, Mitchell Anthony Author
 Centro internazionale matematico estivo Other
 North Atlantic Treaty Organization Scientific Affairs Division
 Kauffman, Louis H.
 Khesin, Boris
 Sumners, De Witt Author
 Moffatt, H. Keith
 H. Keith Moffatt
 NATO Advanced Study Institute on Pedagogica Workshop on Geometry and Topology of Fluid Flows: Cambridge) : 2000
 NATO
Associated Subjects
Braid theory Differentiable dynamical systems Differential equations, Partial Dynamics Ergodic theory Field theory (Physics) Fluid dynamics Fluid mechanics Functions of complex variables Geometry Knot theory Magnetohydrodynamics Mathematics Mechanics Physics Singularities (Mathematics) Thermodynamics Topology VortexmotionMathematical models