Lectures on Topological Fluid Mechanics
Title | Lectures on Topological Fluid Mechanics PDF eBook |
Author | Mitchell A. Berger |
Publisher | Springer |
Pages | 240 |
Release | 2009-05-28 |
Genre | Science |
ISBN | 3642008372 |
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 wide-ranging collection of up-to-date, 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.
Lectures on Topological Fluid Mechanics
Title | Lectures on Topological Fluid Mechanics PDF eBook |
Author | Mitchell A. Berger |
Publisher | Springer Science & Business Media |
Pages | 240 |
Release | 2009-05-05 |
Genre | Mathematics |
ISBN | 3642008364 |
This volume contains a wide-ranging collection of valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics to DNA tangles and knotted DNAs in sedimentation.
Lectures on Fluid Mechanics
Title | Lectures on Fluid Mechanics PDF eBook |
Author | Marvin Shinbrot |
Publisher | Taylor & Francis |
Pages | 222 |
Release | 1973-01-01 |
Genre | Science |
ISBN | 9780677017105 |
Topological Aspects of the Dynamics of Fluids and Plasmas
Title | Topological Aspects of the Dynamics of Fluids and Plasmas PDF eBook |
Author | H.K. Moffatt |
Publisher | Springer |
Pages | 606 |
Release | 2014-03-14 |
Genre | Science |
ISBN | 9789401735513 |
This volume contains papers arising out of the program of the Institute for Theoretical Physics (ITP) of the University of California at Santa Bar bara, August-December 1991, on the subject "Topological Fluid Dynamics". The first group of papers cover the lectures on Knot Theory, Relaxation un der Topological Constraints, Kinematics of Stretching, and Fast Dynamo Theory presented at the initial Pedagogical Workshop of the program. The remaining papers were presented at the subsequent NATO Advanced Re search Workshop or were written during the course of the program. We wish to acknowledge the support of the NATO Science Committee in making this workshop possible. The scope of "Topological Fluid Dynamics" was defined by an earlier Symposium of the International Union of Theoretical and Applied Mechan ics (IUTAM) held in Cambridge, England in August, 1989, the Proceedings of which were published (Eds. H.K. Moffatt and A. Tsinober) by Cambridge University Press in 1990. The proposal to hold an ITP program on this sub ject emerged from that Symposium, and we are grateful to John Greene and Charlie Kennel at whose encouragement the original proposal was formu lated. Topological fluid dynamics covers a range of problems, particularly those involving vortex tubes and/or magnetic flux tubes in nearly ideal fluids, for which topological structures can be identified and to some extent quantified.
An Introduction to the Geometry and Topology of Fluid Flows
Title | An Introduction to the Geometry and Topology of Fluid Flows PDF eBook |
Author | Renzo L. Ricca |
Publisher | Springer Science & Business Media |
Pages | 346 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 9401004463 |
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. Geodesics and chaotic orbits, magnetic knots and vortex links, continual flows and singularities become alive with more than 160 figures and examples. 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.
Lectures on Fluid Mechanics
Title | Lectures on Fluid Mechanics PDF eBook |
Author | Sydney Goldstein |
Publisher | American Mathematical Society(RI) |
Pages | 336 |
Release | 1960 |
Genre | Science |
ISBN |
Topological Fluid Mechanics
Title | Topological Fluid Mechanics PDF eBook |
Author | International Union of Theoretical and Applied Mechanics |
Publisher | Cambridge University Press |
Pages | 394 |
Release | 1990-04-12 |
Genre | Mathematics |
ISBN | 9780521381451 |
There has been developing interest in the aspects of fluid mechanics and of magnetohydrodynamics that can be properly described as topological, rather than exclusively analytical in character. This book contains the proceedings of the IUTAM symposium on Topological Fluid Mechanics held at Cambridge UK, 13-18 August, 1989. Topics covered include the kinematic and dynamical problems in laminar and turbulent flows, as well as the range of problems that arise from the magnetohydrodynamics of highly conducting flows. The papers presented cover all approaches; theoretical, computational and experimental, and each paper has been edited by a member of the International Scientific Committee.