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.
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:
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.
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.
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.
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.
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.
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.
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.
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.
Download or read book Numerical Linear Algebra written by Holger Wendland and published by Cambridge University Press. This book was released on 2017-11-16 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems.
Download or read book Numerical Methods Think before You Compute written by E. J. Hinch and published by Cambridge University Press. This book was released on 2020-04-30 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide to computational fluid mechanics introduces beginning graduate students to the subject's standard methods and common pitfalls.
Download or read book An Introduction to Polynomial and Semi Algebraic Optimization written by Jean Bernard Lasserre and published by Cambridge University Press. This book was released on 2015-02-19 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains how to use relatively recent results from real algebraic geometry to provide a systematic numerical scheme for computing the optimal value and global minimizers. Indeed, among other things, powerful positivity certificates from real algebraic geometry allow one to define an appropriate hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimal values converge to the global minimum. Several extensions to related optimization problems are also described. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.
Download or read book Analysis of Singularities for Partial Differential Equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Frontiers in Materials Rising Stars written by Nicola Maria Pugno and published by Frontiers Media SA. This book was released on 2020-04-17 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Frontiers in Materials Editorial Office team are delighted to present the inaugural “Frontiers in Materials: Rising Stars” article collection, showcasing the high-quality work of internationally recognized researchers in the early stages of their independent careers. All Rising Star researchers featured within this collection were individually nominated by the Journal’s Chief Editors in recognition of their potential to influence the future directions in their respective fields. The work presented here highlights the diversity of research performed across the entire breadth of the materials science and engineering field, and presents advances in theory, experiment and methodology with applications to compelling problems. This Editorial features the corresponding author(s) of each paper published within this important collection, ordered by section alphabetically, highlighting them as the great researchers of the future. The Frontiers in Materials Editorial Office team would like to thank each researcher who contributed their work to this collection. We would also like to personally thank our Chief Editors for their exemplary leadership of this article collection; their strong support and passion for this important, community-driven collection has ensured its success and global impact. Laurent Mathey, PhD Journal Development Manager
Download or read book Propagation of Singularities for Fuchsian Operators written by A. Bove and published by . This book was released on 2014-01-15 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiscale Multimodel Simulation of Micromagnetic Singularities written by Christian Andreas and published by Forschungszentrum Jülich. This book was released on 2014 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:
