Singularities Formation Structure And Propagation

Author : J. Eggers
Publisher : Cambridge University Press
ISBN 13 : 1316352390
Total Pages : pages
Book Rating : 4.97/5 ( download)

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Download or read book Singularities: Formation, Structure, and Propagation written by J. Eggers and published by Cambridge University Press. This book was released on 2015-09-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.

Author : José María Montanero
Publisher : Springer Nature
ISBN 13 : 3031527682
Total Pages : 304 pages
Book Rating : 4.85/5 ( download)

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Download or read book Tip Streaming of Simple and Complex Fluids written by José María Montanero and published by Springer Nature. This book was released on with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michael D. Graham
Publisher : Cambridge University Press
ISBN 13 : 1107024641
Total Pages : 281 pages
Book Rating : 4.49/5 ( download)

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Download or read book Microhydrodynamics, Brownian Motion, and Complex Fluids written by Michael D. Graham and published by Cambridge University Press. This book was released on 2018-09-13 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a foundation for understanding complex fluids by integrating fluid dynamics, statistical physics, and polymer and colloid science.

Author : Jean-Daniel Boissonnat
Publisher : Cambridge University Press
ISBN 13 : 1108317618
Total Pages : 247 pages
Book Rating : 4.10/5 ( download)

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Download or read book Geometric and Topological Inference written by Jean-Daniel Boissonnat and published by Cambridge University Press. This book was released on 2018-09-27 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy sample points. It has connections to manifold learning and provides the mathematical and algorithmic foundations of the rapidly evolving field of topological data analysis. Building on a rigorous treatment of simplicial complexes and distance functions, this self-contained book covers key aspects of the field, from data representation and combinatorial questions to manifold reconstruction and persistent homology. It can serve as a textbook for graduate students or researchers in mathematics, computer science and engineering interested in a geometric approach to data science.

Author : Keith Moffatt
Publisher : Cambridge University Press
ISBN 13 : 1107065879
Total Pages : 539 pages
Book Rating : 4.71/5 ( download)

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Download or read book Self-Exciting Fluid Dynamos written by Keith Moffatt and published by Cambridge University Press. This book was released on 2019-04-25 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treats the origin of magnetic fields in planets, stars and galaxies, and the manner of their evolution over time.

Author : Radek Erban
Publisher : Cambridge University Press
ISBN 13 : 1108498124
Total Pages : 321 pages
Book Rating : 4.28/5 ( download)

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Download or read book Stochastic Modelling of Reaction-Diffusion Processes written by Radek Erban and published by Cambridge University Press. This book was released on 2020-01-30 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical introduction for advanced undergraduate or beginning graduate students of applied mathematics, developed at the University of Oxford.

Author : Eric Lauga
Publisher : Cambridge University Press
ISBN 13 : 1316805786
Total Pages : 392 pages
Book Rating : 4.87/5 ( download)

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Download or read book The Fluid Dynamics of Cell Motility written by Eric Lauga and published by Cambridge University Press. This book was released on 2020-11-05 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid dynamics plays a crucial role in many cellular processes, including the locomotion of cells such as bacteria and spermatozoa. These organisms possess flagella, slender organelles whose time periodic motion in a fluid environment gives rise to motility. Sitting at the intersection of applied mathematics, physics and biology, the fluid dynamics of cell motility is one of the most successful applications of mathematical tools to the understanding of the biological world. Based on courses taught over several years, it details the mathematical modelling necessary to understand cell motility in fluids, covering phenomena ranging from single-cell motion to instabilities in cell populations. Each chapter introduces mathematical models to rationalise experiments, uses physical intuition to interpret mathematical results, highlights the history of the field and discusses notable current research questions. All mathematical derivations are included for students new to the field, and end-of-chapter exercises help consolidate understanding and practise applying the concepts.

Author : Mark J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 110896334X
Total Pages : 422 pages
Book Rating : 4.43/5 ( download)

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Download or read book Introduction to Complex Variables and Applications written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 2021-03-25 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus or form the basis for challenging student projects.

Author : J. Hietarinta
Publisher : Cambridge University Press
ISBN 13 : 1107042720
Total Pages : 461 pages
Book Rating : 4.28/5 ( download)

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Download or read book Discrete Systems and Integrability written by J. Hietarinta and published by Cambridge University Press. This book was released on 2016-09 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.

Author : P. A. Davidson
Publisher : Cambridge University Press
ISBN 13 : 1107160162
Total Pages : 575 pages
Book Rating : 4.63/5 ( download)

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Download or read book Introduction to Magnetohydrodynamics written by P. A. Davidson and published by Cambridge University Press. This book was released on 2016-12-22 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive textbook prioritising physical ideas over mathematical detail. New material includes fusion plasma magnetohydrodynamics.