Topological Fluid Mechanics
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Lectures On Topological Fluid Mechanics
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Author : Mitchell A. Berger
language : en
Publisher: Springer
Release Date : 2009-05-28
Lectures On Topological Fluid Mechanics written by Mitchell A. Berger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-28 with Science categories.
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.
Topological Fluid Mechanics
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Author : International Union of Theoretical and Applied Mechanics
language : en
Publisher: Cambridge University Press
Release Date : 1990-04-12
Topological Fluid Mechanics written by International Union of Theoretical and Applied Mechanics and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-12 with Mathematics categories.
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.
An Introduction To The Geometry And Topology Of Fluid Flows
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Author : Renzo L. Ricca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To The Geometry And Topology Of Fluid Flows written by Renzo L. Ricca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Topological Aspects Of The Dynamics Of Fluids And Plasmas
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Author : H.K. Moffatt
language : en
Publisher: Springer
Release Date : 2014-03-14
Topological Aspects Of The Dynamics Of Fluids And Plasmas written by H.K. Moffatt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-14 with Science categories.
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.
Cellular Flows
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Author : Vladimir Shtern
language : en
Publisher: Cambridge University Press
Release Date : 2018-02-08
Cellular Flows written by Vladimir Shtern and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-08 with Technology & Engineering categories.
This book discusses flow cells, their emergence, multiplication, coalescence, disappearance, and physical reasons for their metamorphoses.
Topological Fluid Mechanics
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Author : Henry Keith Moffatt
language : en
Publisher:
Release Date : 1990
Topological Fluid Mechanics written by Henry Keith Moffatt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Topological Approximation Methods For Evolutionary Problems Of Nonlinear Hydrodynamics
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Author : Victor G. Zvyagin
language : en
Publisher: Walter de Gruyter
Release Date : 2008-09-25
Topological Approximation Methods For Evolutionary Problems Of Nonlinear Hydrodynamics written by Victor G. Zvyagin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-25 with Mathematics categories.
The authors present functional analytical methods for solving a class of partial differential equations. The results have important applications to the numerical treatment of rheology (specific examples are the behaviour of blood or print colours) and to other applications in fluid mechanics. A class of methods for solving problems in hydrodynamics is presented.
Selected Papers Oeuvres Scientifiques I
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Author : Jean Leray
language : en
Publisher: Springer
Release Date : 1998-01-08
Selected Papers Oeuvres Scientifiques I written by Jean Leray and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-08 with Mathematics categories.
This collection reflects the life's work of one of the great twentieth century French mathematicians. The three volumes cover Leray's seminal work in algebraic topology, fluid mechanics and PDE, and the theory of several complex variables. Including informed introductions by modern mathematicians.
Topological Methods In Hydrodynamics
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Author : Vladimir I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-08
Topological Methods In Hydrodynamics written by Vladimir I. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-08 with Mathematics categories.
The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.
Selected Papers Oeuvres Scientifiques I
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Author : Jean Leray
language : en
Publisher: Springer
Release Date : 1998-01-08
Selected Papers Oeuvres Scientifiques I written by Jean Leray and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-08 with Mathematics categories.
This collection reflects the life's work of one of the great twentieth century French mathematicians. The three volumes cover Leray's seminal work in algebraic topology, fluid mechanics and PDE, and the theory of several complex variables. Including informed introductions by modern mathematicians.