Download or read book Uniqueness of Fat Tailed Self Similar Profiles to Smoluchowski s Coagulation Equation for a Perturbation of the Constant Kernel written by Sebastian Throm and published by American Mathematical Society. This book was released on 2021-09-24 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Analytic Methods for Coagulation Fragmentation Models Volume II written by Jacek Banasiak and published by CRC Press. This book was released on 2019-09-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the subsequent detailed treatment of more up-to-date investigations which have led to significant theoretical developments on topics such as solvability and the long-term behaviour of solutions. To make the account as self-contained as possible, the mathematical tools that feature prominently in these modern treatments are introduced at appropriate places. The main theme of Volume I is the analysis of linear fragmentation models, with Volume II devoted to processes that involve the nonlinear contribution of coagulation. Features of Volume II: A primer on weak compactness in L 1 and dynamical systems A comprehensive theory of solvability of the coagulation-fragmentation equation by both the semigroup and weak compactness methods, including a thorough analysis of the gelation and shattering phenomena A detailed analysis of the long-term dynamics of the coagulation-fragmentation equations with a state-of-the-art discussion on self-similar solutions
Download or read book Polymer Colloids written by Rodney Priestley and published by Royal Society of Chemistry. This book was released on 2019-12-02 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Academic and industrial research around polymer-based colloids is huge, driven both by the development of mature technologies, e.g. latexes for coatings, as well as the advancement of new materials and applications, such as building blocks for 2D/3D structures and medicine. Edited by two world-renowned leaders in polymer science and engineering, this is a fundamental text for the field. Based on a specialised course by the editors, this book provides the reader with an invaluable single source of reference. The first section describes formation, explaining basic properties of emulsions and dispersion polymerization, microfluidic approaches to produce polymer-based colloids and formation via directed self-assembly. The next section details characterisation methodologies from microscopy and small angle scattering, to surface science and simulations. The final chapters close with applications, including Pickering emulsions and molecular engineering for materials development. A comprehensive guide to polymer colloids, with contributions by leaders in their respective areas, this book is a must-have for researchers and practitioners working across polymers, soft matter and chemical and molecular engineering.
Download or read book Physics in Food Manufacturing written by Megan Povey and published by . This book was released on 2020-06-12 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first authoritative text on the role that physicists play in solving the inherently multidisciplinary science and technology challenges in food manufacturing. Topics range from designing safe, nutritious and great-tasting foods to the process technology and manufacturing know-how needed to deliver compelling product innovation. The book provides a foundational resource for the transformation of engineering and materials characterisation in the food and pharmaceuticals industries. It is an essential reference for interdisciplinary physical scientists, food/nutrition scientists and engineers working in academic research, government labs and industry, and it is also a valuable resource for R&D staff and product engineers working for suppliers of specialist instrumentation and equipment to the food processing industry. The book is augmented by complementary presentations from the Fourth IOP Physics in Food Manufacturing Conference 2020, held in Leeds, UK. Key Features The first authoritative account of the diverse role that physics and physicists play in the food processing industry. A go-to reference source for anyone wishing to become involved in food processing - science, technology, engineering. Expert accounts by leading academics and industrial scientists.
Download or read book Singular Integral Equations written by Ricardo Estrada and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This work focuses exclusively on singular integral equations and on the distributional solutions of these equations. A large number of beautiful mathematical concepts are required to find such solutions, which in tum, can be applied to a wide variety of scientific fields - potential theory, me chanics, fluid dynamics, scattering of acoustic, electromagnetic and earth quake waves, statistics, and population dynamics, to cite just several. An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1. The Abel equation x x) = l g (y) d 0
Download or read book Scaling written by G. I. Barenblatt and published by Cambridge University Press. This book was released on 2003-11-13 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural consequences of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.
Download or read book Combustion written by J. Warnatz and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rigorous treatment of the coupling of chemical reactions and fluid flow. Combustion-specific topics of chemistry and fluid mechanics are considered and tools described for the simulation of combustion processes. This edition is completely restructured. Mathematical Formulae and derivations as well as the space-consuming reaction mechanisms have been replaced from the text to appendix. A new chapter discusses the impact of combustion processes on the atmosphere, the chapter on auto-ignition is extended to combustion in Otto- and Diesel-engines, and the chapters on heterogeneous combustion and on soot formation are heavily revised.
Download or read book Emulsions Foams and Suspensions written by Laurier L. Schramm and published by John Wiley & Sons. This book was released on 2006-05-12 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until now colloid science books have either been theoretical, or focused on specific types of dispersion, or on specific applications. This then is the first book to provide an integrated introduction to the nature, formation and occurrence, stability, propagation, and uses of the most common types of colloidal dispersion in the process-related industries. The primary focus is on the applications of the principles, paying attention to practical processes and problems. This is done both as part of the treatment of the fundamentals, where appropriate, and also in the separate sections devoted to specific kinds of industries. Throughout, the treatment is integrated, with the principles of colloid and interface science common to each dispersion type presented for each major physical property class, followed by separate treatments of features unique to emulsions, foams, or suspensions. The first half of the book introduces the fundamental principles, introducing readers to suspension formation and stability, characterization, and flow properties, emphasizing practical aspects throughout. The following chapters discuss a wide range of industrial applications and examples, serving to emphasize the different methodologies that have been successfully applied. Overall, the book shows how to approach making emulsions, foams, and suspensions with different useful properties, how to propagate them, and how to prevent their formation or destabilize them if necessary. The author assumes no prior knowledge of colloid chemistry and, with its glossary of key terms, complete cross-referencing and indexing, this is a must-have for graduate and professional scientists and engineers who may encounter or use emulsions, foams, or suspensions, or combinations thereof, whether in process design, industrial production, or in related R&D fields.
Download or read book Essentials of Econophysics Modelling written by Frantisek Slanina and published by Oxford University Press. This book was released on 2013-12 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a course in methods and models rooted in physics and used in modelling economic and social phenomena. It covers the discipline of econophysics, which creates an interface between physics and economics. Besides the main theme, it touches on the theory of complex networks and simulations of social phenomena in general. After a brief historical introduction, the book starts with a list of basic empirical data and proceeds to thorough investigation of mathematical and computer models. Many of the models are based on hypotheses of the behaviour of simplified agents. These comprise strategic thinking, imitation, herding, and the gem of econophysics, the so-called minority game. At the same time, many other models view the economic processes as interactions of inanimate particles. Here, the methods of physics are especially useful. Examples of systems modelled in such a way include books of stock-market orders, and redistribution of wealth among individuals. Network effects are investigated in the interaction of economic agents. The book also describes how to model phenomena like cooperation and emergence of consensus. The book will be of benefit to graduate students and researchers in both Physics and Economics.
Download or read book Encyclopedic Handbook of Emulsion Technology written by Johan Sjoblom and published by CRC Press. This book was released on 2001-03-16 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of fundamental characteristics, theories and applications for liquid-liquid colloidal dispersions. It profiles experimental and traditional measurement techniques in a variety of emulsified systems, including rheology, nuclear magnetic resonance, dielectric spectroscopy, microcalorimetry, video enhanced microscopy, and conductivity.
Download or read book Chemical and Functional Properties of Food Saccharides written by Piotr Tomasik and published by CRC Press. This book was released on 2003-10-20 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourth volume in the Chemical and Functional Properties of Food Components series focuses on saccharides as food constituents. Written by an international group of experts, it provides an up-to-date review of a wide spectrum of issues, focusing on the current research and literature on the properties of compounds, their mechanisms of action, a
Download or read book Microrheology written by Eric M. Furst and published by Oxford University Press. This book was released on 2017 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive overview of microrheology, emphasizing the underlying theory, practical aspects of its implementation, and current applications to rheological studies in academic and industrial laboratories. The field of microrheology continues to evolve rapidly, and applications are expanding at an accelerating pace. Readers will learn about the key methods and techniques, including important considerations to be made with respect to the materials most amenable to microrheological characterization and pitfalls to avoid in measurements and analysis. Microrheological measurements can be as straightforward as video microscopy recordings of colloidal particle Brownian motion; these simple experiments can yield rich rheological information. This text will cover topics ranging from active microrheology using laser or magnetic tweezers to passive microrheology, such as multiple particle tracking and tracer particle microrheology with diffusing wave spectroscopy. Overall, this text aims to provide an introduction to microrheology for the industrial researcher, academic investigator, or student who wishes either to become informed in this relatively new area of theology, seeks to incorporate these methods into their own research, or simply survey and understand the growing body of micorheology literature. The text consolidates many sources of archival literature into an accessible volume for the rheologist and non-specialist, alike. The material should be suitable for the biologist, chemist, or materials scientist with an interest in microrheology as a characterization method. Indeed, the small sample sizes of many microrheology experiments have made it an important method for studying emerging and scarce materials, like cytoskeletal proteins, pharmaceutical biologics, and novel hydrogelators. Book jacket.
Download or read book Eigenvalues Inequalities and Ergodic Theory written by Mu-Fa Chen and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first and only book to make this research available in the West Concise and accessible: proofs and other technical matters are kept to a minimum to help the non-specialist Each chapter is self-contained to make the book easy-to-use
Download or read book Laser Light Scattering written by Benjamin Chu and published by Academic Press. This book was released on 2012-12-02 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Laser Light Scattering: Basic Principles and Practice, Second Edition deals with the technical aspects of laser light scattering, including the basic principles and practice. Topics covered include light scattering theory, optical mixing spectrometry, photon correlation spectroscopy, and interferometry. Experimental methods and methods of data analysis are also described. This book is comprised of eight chapters and begins with a discussion on the interrelationship between laser light scattering and other types of scattering techniques that use X-rays and neutrons, with particular reference to momentum and energy transfers as well as time-averaged and time-dependent scattered intensity. The spectrum of scattered light and a single-particle approach to time-averaged scattered intensity are considered. The following chapters focus on photoelectric detection of the scattered electric field; optical mixing spectrometers; basic equations for photon correlation spectroscopy; and the principles of Fabry-Perot interferometry. The pertinent features of the experimental aspects of laser light scattering are also outlined, together with the Laplace inversion problem. The final chapter examines polymer molecular-weight distributions in relation to particle sizing. This monograph will be of interest to physicists.
Download or read book Local Well Posedness and Break Down Criterion of the Incompressible Euler Equations with Free Boundary written by Chao Wang and published by American Mathematical Soc.. This book was released on 2021-07-21 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we prove the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which the velocity is a Lipschitz function and the free surface belongs to C 3 2 +ε. Moreover, we also present a Beale-Kato-Majda type break-down criterion of smooth solution in terms of the mean curvature of the free surface, the gradient of the velocity and Taylor sign condition.
Download or read book Nonlinear Wave Equations written by Tatsien Li and published by Springer. This book was released on 2017-11-23 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut ions to the corresponding linear problems, the method simply applies the contraction mapping principle.
Download or read book Food Emulsions written by Stig Friberg and published by CRC Press. This book was released on 2003-11-04 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upholding the standards that made previous editions so popular, this reference focuses on current strategies to analyze the functionality and performance of food emulsions and explores recent developments in emulsion science that have advanced food research and development. Written by leading specialists in the field, the Fourth Edition probes the
