Topological Methods in Hydrodynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387225897
Total Pages : 376 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Topological Methods in Hydrodynamics by : Vladimir I. Arnold

Download or read book Topological Methods in Hydrodynamics written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Methods in Fluid Dynamics

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Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Topological Methods in Fluid Dynamics by : Robert Nicol

Download or read book Topological Methods in Fluid Dynamics written by Robert Nicol and published by . This book was released on 1992 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Methods in Data Analysis and Visualization VI

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Publisher : Springer Nature
ISBN 13 : 3030835006
Total Pages : 372 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Topological Methods in Data Analysis and Visualization VI by : Ingrid Hotz

Download or read book Topological Methods in Data Analysis and Visualization VI written by Ingrid Hotz and published by Springer Nature. This book was released on 2021-09-28 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Sweden. The workshop regularly gathers some of the world’s leading experts in this field. Thereby, it provides a forum for discussions on the latest advances in the field with a focus on finding practical solutions to open problems in topological data analysis for visualization. The contributions provide introductory and novel research articles including new concepts for the analysis of multivariate and time-dependent data, robust computational approaches for the extraction and approximations of topological structures with theoretical guarantees, and applications of topological scalar and vector field analysis for visualization. The applications span a wide range of scientific areas comprising climate science, material sciences, fluid dynamics, and astronomy. In addition, community efforts with respect to joint software development are reported and discussed.

An Introduction to the Geometry and Topology of Fluid Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9401004463
Total Pages : 346 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis An Introduction to the Geometry and Topology of Fluid Flows by : Renzo L. Ricca

Download or read book An Introduction to the Geometry and Topology of Fluid Flows written by Renzo L. Ricca and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics

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Publisher : Walter de Gruyter
ISBN 13 : 3110208288
Total Pages : 245 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics by : Victor G. Zvyagin

Download or read book Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics written by Victor G. Zvyagin and published by Walter de Gruyter. This book was released on 2008-09-25 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Methods for Delay and Ordinary Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3031613376
Total Pages : 220 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Topological Methods for Delay and Ordinary Differential Equations by : Pablo Amster

Download or read book Topological Methods for Delay and Ordinary Differential Equations written by Pablo Amster and published by Springer Nature. This book was released on with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Methods in Data Analysis and Visualization

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Publisher : Springer Science & Business Media
ISBN 13 : 3642150144
Total Pages : 265 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Topological Methods in Data Analysis and Visualization by : Valerio Pascucci

Download or read book Topological Methods in Data Analysis and Visualization written by Valerio Pascucci and published by Springer Science & Business Media. This book was released on 2010-11-23 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Snowbird, Utah, US. The 2009 "TopoInVis" workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).

Topological Methods for Delay and Ordinary Differential Equations

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Publisher : Birkhäuser
ISBN 13 : 9783031613364
Total Pages : 0 pages
Book Rating : 4.6/5 (133 download)

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Book Synopsis Topological Methods for Delay and Ordinary Differential Equations by : Pablo Amster

Download or read book Topological Methods for Delay and Ordinary Differential Equations written by Pablo Amster and published by Birkhäuser. This book was released on 2024-09-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide variety of applications to continuum mechanics are provided as well, such as chemostats, non-Newtonian fluid flow, and flows in phase space. Topological Methods for Delay and Ordinary Differential Equations will be a valuable resource for researchers interested in differential equations, functional analysis, topology, and the applied sciences.

Topological Methods in Complementarity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1475731418
Total Pages : 691 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Topological Methods in Complementarity Theory by : G. Isac

Download or read book Topological Methods in Complementarity Theory written by G. Isac and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complementarity theory is a new domain in applied mathematics and is concerned with the study of complementarity problems. These problems represent a wide class of mathematical models related to optimization, game theory, economic engineering, mechanics, fluid mechanics, stochastic optimal control etc. The book is dedicated to the study of nonlinear complementarity problems by topological methods. Audience: Mathematicians, engineers, economists, specialists working in operations research and anybody interested in applied mathematics or in mathematical modeling.

Lectures on Topological Fluid Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642008364
Total Pages : 240 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Lectures on Topological Fluid Mechanics by : Mitchell A. Berger

Download or read book Lectures on Topological Fluid Mechanics written by Mitchell A. Berger and published by Springer Science & Business Media. This book was released on 2009-05-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Fluid Mechanics

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Publisher : Cambridge University Press
ISBN 13 : 9780521381451
Total Pages : 394 pages
Book Rating : 4.3/5 (814 download)

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Book Synopsis Topological Fluid Mechanics by : International Union of Theoretical and Applied Mechanics

Download or read book Topological Fluid Mechanics written by International Union of Theoretical and Applied Mechanics and published by Cambridge University Press. This book was released on 1990-04-12 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Methods for Ordinary Differential Equations

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Publisher : Springer
ISBN 13 : 354047563X
Total Pages : 223 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Topological Methods for Ordinary Differential Equations by : Patrick Fitzpatrick

Download or read book Topological Methods for Ordinary Differential Equations written by Patrick Fitzpatrick and published by Springer. This book was released on 2006-11-14 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANR's, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles. CONTENTS: P. Fitzpatrick: The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps.- M. Martelli: Continuation principles and boundary value problems.- J. Mawhin: Topological degree and boundary value problems for nonlinear differential equations.- R.D. Nussbaum: The fixed point index and fixed point theorems.

Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821836935
Total Pages : 248 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics by : Tian Ma

Download or read book Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics written by Tian Ma and published by American Mathematical Soc.. This book was released on 2005 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a geometric theory for incompressible flow and its applications to fluid dynamics. The main objective is to study the stability and transitions of the structure of incompressible flows and its applications to fluid dynamics and geophysical fluid dynamics. The development of the theory and its applications goes well beyond its original motivation of the study of oceanic dynamics. The authors present a substantial advance in the use of geometric and topological methods to analyze and classify incompressible fluid flows. The approach introduces genuinely innovative ideas to the study of the partial differential equations of fluid dynamics. One particularly useful development is a rigorous theory for boundary layer separation of incompressible fluids. The study of incompressible flows has two major interconnected parts. The first is the development of a global geometric theory of divergence-free fields on general two-dimensional compact manifolds. The second is the study of the structure of velocity fields for two-dimensional incompressible fluid flows governed by the Navier-Stokes equations or the Euler equations. Motivated by the study of problems in geophysical fluid dynamics, the program of research in this book seeks to develop a new mathematical theory, maintaining close links to physics along the way. In return, the theory is applied to physical problems, with more problems yet to be explored. The material is suitable for researchers and advanced graduate students interested in nonlinear PDEs and fluid dynamics.

Topological Methods in Euclidean Spaces

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Publisher : Courier Corporation
ISBN 13 : 0486153444
Total Pages : 276 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Topological Methods in Euclidean Spaces by : Gregory L. Naber

Download or read book Topological Methods in Euclidean Spaces written by Gregory L. Naber and published by Courier Corporation. This book was released on 2012-08-29 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive development of such topics as elementary combinatorial techniques, Sperner's Lemma, the Brouwer Fixed Point Theorem, and the Stone-Weierstrass Theorem. New section of solutions to selected problems.

Applied Shape Optimization for Fluids

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Publisher : OUP Oxford
ISBN 13 : 019157421X
Total Pages : 296 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Applied Shape Optimization for Fluids by : Bijan Mohammadi

Download or read book Applied Shape Optimization for Fluids written by Bijan Mohammadi and published by OUP Oxford. This book was released on 2009-09-24 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of computational fluid dynamics (CFD) and optimal shape design (OSD) have received considerable attention in the recent past, and are of practical importance for many engineering applications. This new edition of Applied Shape Optimization for Fluids deals with shape optimization problems for fluids, with the equations needed for their understanding (Euler and Navier Strokes, but also those for microfluids) and with the numerical simulation of these problems. It presents the state of the art in shape optimization for an extended range of applications involving fluid flows. Automatic differentiation, approximate gradients, unstructured mesh adaptation, multi-model configurations, and time-dependent problems are introduced, and their implementation into the industrial environments of aerospace and automobile equipment industry explained and illustrated. With the increases in the power of computers in industry since the first edition, methods which were previously unfeasible have begun giving results, namely evolutionary algorithms, topological optimization methods, and level set algortihms. In this edition, these methods have been treated in separate chapters, but the book remains primarily one on differential shape optimization. This book is essential reading for engineers interested in the implementation and solution of optimization problems using commercial packages or in-house solvers and graduates and researchers in applied mathematics, aerospace, or mechanical engineering, fluid dynamics, and CFD. More generally, anyone needing to understand and solve design problems or looking for new exciting areas for research and development in this area will find this book useful, especially in applying the methodology to practical problems.

Topology-Based Methods in Visualization II

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Publisher : Springer Science & Business Media
ISBN 13 : 3540886060
Total Pages : 194 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Topology-Based Methods in Visualization II by : Hans-Christian Hege

Download or read book Topology-Based Methods in Visualization II written by Hans-Christian Hege and published by Springer Science & Business Media. This book was released on 2009-02-07 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them. While there are di?erent methods of reaching this goal, topological methods stand out for their solid mathem- ical foundation, which guides the algorithmic analysis and its presentation. Topology-based methods in visualization have been around since the beg- ning of visualization as a scienti?c discipline, but they initially played only a minor role. In recent years,interest in topology-basedvisualization has grown andsigni?cantinnovationhasledto newconceptsandsuccessfulapplications. The latest trends adapt basic topological concepts to precisely express user interests in topological properties of the data. This book is the outcome of the second workshop on Topological Methods in Visualization, which was held March 4–6, 2007 in Kloster Nimbschen near Leipzig,Germany.Theworkshopbroughttogethermorethan40international researchers to present and discuss the state of the art and new trends in the ?eld of topology-based visualization. Two inspiring invited talks by George Haller, MIT, and Nelson Max, LLNL, were accompanied by 14 presentations by participants and two panel discussions on current and future trends in visualization research. This book contains thirteen research papers that have been peer-reviewed in a two-stage review process. In the ?rst phase, submitted papers where peer-reviewed by the international program committee. After the workshop accepted papers went through a revision and a second review process taking into account comments from the ?rst round and discussions at the workshop. Abouthalfthepapersconcerntopology-basedanalysisandvisualizationof ?uid?owsimulations;twopapersconcernmoregeneraltopologicalalgorithms, while the remaining papers discuss topology-based visualization methods in application areas like biology, medical imaging and electromagnetism.

Topological Methods in Data Analysis and Visualization III

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Publisher : Springer Science & Business
ISBN 13 : 3319040995
Total Pages : 276 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Topological Methods in Data Analysis and Visualization III by : Peer-Timo Bremer

Download or read book Topological Methods in Data Analysis and Visualization III written by Peer-Timo Bremer and published by Springer Science & Business. This book was released on 2014-04-22 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms and insights, including fast homology computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as the representation of large and complex datasets and integrating numerical methods with robust combinatorial algorithms. Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made on finding experimental solutions to open problems in the sector. They provide an inclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for future progress. With papers by some of the world’s leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range from engineering to medicine.