Author : Sebastian Throm
Publisher : American Mathematical Society
Page : 106 pages
File Size : 32,61 MB
Release : 2021-09-24
Category : Mathematics
ISBN : 147044786X
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Author : Jacek Banasiak
Publisher : CRC Press
Page : 212 pages
File Size : 33,95 MB
Release : 2019-09-05
Category : Mathematics
ISBN : 1000008150
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
Author : Jean-Pierre Bourguignon
Publisher : Springer
Page : 440 pages
File Size : 34,29 MB
Release : 2015-07-29
Category : Mathematics
ISBN : 3319161210
The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing planetary problems and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters and influencing fundamental aspects of life and life-supporting systems. In addition to these natural processes, human activity has increased to the point where it influences the global climate, impacts the ability of the planet to feed itself and threatens the stability of these systems. Issues such as climate change, sustainability, man-made disasters, control of diseases and epidemics, management of resources, risk analysis and global integration have come to the fore. Written by specialists in several fields of mathematics and applied sciences, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Mathematics of Energy and Climate Change held in Lisbon, Portugal, in March 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book presents the state of the art in advanced research and ultimate techniques in modeling natural, economical and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences.
Author : Cdric Villani
Publisher : American Mathematical Soc.
Page : 154 pages
File Size : 37,10 MB
Release : 2009-10-08
Category : Mathematics
ISBN : 0821844989
This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form ${\frac{\partial f}{\partial t}}+ L f =0$. The question is whether and how one can overcome the degeneracy by exploiting commutators.
Author : M. Escobedo
Publisher : American Mathematical Soc.
Page : 120 pages
File Size : 42,88 MB
Release : 2015-10-27
Category : Mathematics
ISBN : 1470414341
The authors study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger equation. They define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including long time asymptotics, blow up results and condensation in finite time are obtained. The authors also prove the existence of a family of solutions that exhibit pulsating behavior.
Author : Pierre Degond
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 34,44 MB
Release : 2004-04-07
Category : Mathematics
ISBN : 9780817632540
In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular media modeling, quantum kinetic modeling, and coagulation-fragmentation problems. Modeling and Computational Methods of Kinetic Equations will be accessible to readers working in different communities where kinetic theory is important: graduate students, researchers and practitioners in mathematical physics, applied mathematics, and various branches of engineering. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Author : Harald Ibach
Publisher : Springer Science & Business Media
Page : 653 pages
File Size : 43,66 MB
Release : 2006-11-18
Category : Science
ISBN : 3540347100
This graduate-level textbook covers the major developments in surface sciences of recent decades, from experimental tricks and basic techniques to the latest experimental methods and theoretical understanding. It is unique in its attempt to treat the physics of surfaces, thin films and interfaces, surface chemistry, thermodynamics, statistical physics and the physics of the solid/electrolyte interface in an integral manner, rather than in separate compartments. It is designed as a handbook for the researcher as well as a study-text for graduate students. Written explanations are supported by 350 graphs and illustrations.
Author : A. I?U. Grosberg
Publisher : World Scientific
Page : 347 pages
File Size : 23,99 MB
Release : 2011
Category : Technology & Engineering
ISBN : 9812839224
?? Giant molecules are important in our everyday life. But, as pointed out by the authors, they are also associated with a culture. What Bach did with the harpsichord, Kuhn and Flory did with polymers. We owe a lot of thanks to those who now make this music accessible ??Pierre-Gilles de GennesNobel Prize laureate in Physics(Foreword for the 1st Edition, March 1996)This book describes the basic facts, concepts and ideas of polymer physics in simple, yet scientifically accurate, terms. In both scientific and historic contexts, the book shows how the subject of polymers is fascinating, as it is behind most of the wonders of living cell machinery as well as most of the newly developed materials. No mathematics is used in the book beyond modest high school algebra and a bit of freshman calculus, yet very sophisticated concepts are introduced and explained, ranging from scaling and reptations to protein folding and evolution. The new edition includes an extended section on polymer preparation methods, discusses knots formed by molecular filaments, and presents new and updated materials on such contemporary topics as single molecule experiments with DNA or polymer properties of proteins and their roles in biological evolution.
Author : Megan Povey
Publisher :
Page : 248 pages
File Size : 24,40 MB
Release : 2020-06-12
Category :
ISBN : 9780750325974
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.
Author : Michael E. Cates
Publisher : CRC Press
Page : 956 pages
File Size : 25,11 MB
Release : 2000-01-01
Category : Science
ISBN : 9781420033519
Covering colloids, polymers, surfactant phases, emulsions, and granular media, Soft and Fragile Matter: Nonequilibrium Dynamics, Metastability and Flow (PBK) provides self-contained and pedagogical coverage of the rapidly advancing field of systems driven out of equilibrium, with a strong emphasis on unifying conceptual principles rather than material-specific details. Written by internationally recognized experts, the book contains introductions at the level of a graduate course in soft condensed matter and statistical physics to the following areas: experimental techniques, polymers, rheology, colloids, computer simulation, surfactants, phase separation kinetics, driven systems, structural glasses, slow dynamics, and granular materials. These topics lead to a range of exciting applications at the forefront of current research, including microplasticity of emulsions, sequence design of copolymers, branched polymer dynamics, nucleation kinetics in colloids, multiscale modeling, flow-induced surfactant textures, fluid demixing under shear, two-time correlation functions, chaotic sedimentation dynamics, and sound propagation in powders. Balancing theory, simulation, and experiment, this broadly-based, pedagogical account of a rapidly developing field is an excellent compendium for graduate students and researchers in condensed matter physics, materials science, and physical chemistry.
