Analytic Methods For Coagulation Fragmentation Models Volume I
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Analytic Methods For Coagulation Fragmentation Models Volume I
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Author : Jacek Banasiak
language : en
Publisher: CRC Press
Release Date : 2019-09-04
Analytic Methods For Coagulation Fragmentation Models Volume I written by Jacek Banasiak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-04 with Mathematics categories.
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 I: The main models of the theory together with their derivations and early methods of solution A detailed presentation of the operator theoretical methods and semigroup theory that play an essential role in the theory of fragmentation processes A comprehensive theory of fragmentation processes, including fragmentation with growth and decay in both the discrete and continuous particle size cases An analytical explanation of the `pathologies’ of the fragmentation equation, such as the shattering phase transition and non-uniqueness of solutions An analysis of the long-term dynamics of the discrete size fragmentation equation with growth
Analytic Methods For Coagulation Fragmentation Models Volume I
DOWNLOAD
Author : Jacek Banasiak
language : en
Publisher: CRC Press
Release Date : 2019-09-04
Analytic Methods For Coagulation Fragmentation Models Volume I written by Jacek Banasiak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-04 with Mathematics categories.
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 I: The main models of the theory together with their derivations and early methods of solution A detailed presentation of the operator theoretical methods and semigroup theory that play an essential role in the theory of fragmentation processes A comprehensive theory of fragmentation processes, including fragmentation with growth and decay in both the discrete and continuous particle size cases An analytical explanation of the `pathologies’ of the fragmentation equation, such as the shattering phase transition and non-uniqueness of solutions An analysis of the long-term dynamics of the discrete size fragmentation equation with growth
Analytic Methods For Coagulation Fragmentation Models Volume Ii
DOWNLOAD
Author : Jacek Banasiak
language : en
Publisher: CRC Press
Release Date : 2019-09-05
Analytic Methods For Coagulation Fragmentation Models Volume Ii written by Jacek Banasiak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-05 with Mathematics categories.
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
Analytic Methods For Coagulation Fragmentation Models
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Author : Jacek Banasiak
language : en
Publisher: CRC Press
Release Date : 2019-09-20
Analytic Methods For Coagulation Fragmentation Models written by Jacek Banasiak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-20 with Coagulation categories.
Analytic Methods for Coagulation-Fragmentation Models is a two-volume 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: Provides a comprehensive and up-to-date survey of knowledge and important results in the field, and brings together two different deterministic analytical approaches for solving the fundamental coagulation-fragmentation equations Presents a state-of-the-art analysis of the long-term dynamics of the models Offers an analytic explanation of phase transitions such as shattering and gelation, appearing for the first time in a book form Includes a self-contained survey of essential mathematical tools from kinetic theory, with applications to specific, but nontrivial, examples of coagulation-fragmentation theory Provides a link between phenomenological results obtained in applied and technological sciences and rigorous mathematical theory
Analytic Methods For Coagulation Fragmentation Models
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Author : Jacek Banasiak
language : en
Publisher:
Release Date : 2019
Analytic Methods For Coagulation Fragmentation Models written by Jacek Banasiak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Aggregation (Chemistry) categories.
The book provides an in-depth survey of coagulation-fragmentation models, followed by a detailed presentation of relevant earlier results in the field.
Analytic Methods For Coagulation Fragmentation Models Volume Ii
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Author : Daniel Todd
language : en
Publisher: Routledge
Release Date : 1988
Analytic Methods For Coagulation Fragmentation Models Volume Ii written by Daniel Todd and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Business & Economics categories.
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
Particle Dynamics With Aggregation And Fragmentation
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Author : Culbert B. Laney
language : en
Publisher: Oxford University Press
Release Date : 2025-04-16
Particle Dynamics With Aggregation And Fragmentation written by Culbert B. Laney and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-16 with Science categories.
Particle dynamics with aggregation and fragmentation occurs in almost every branch of science and engineering. Examples include the formation of stars and planets in astrophysics, the formation of colloids and polymers in chemistry, the formation of raindrops and snowflakes in meteorology, the formation of fuel sprays in mechanical engineering, impact damage to aircraft and satellites in aerospace engineering, and drilling and blasting in civil and mining engineering. This is one of the first textbooks to give particle dynamics with aggregation and fragmentation a full treatment, putting it on an equal footing with fluid dynamics and solid mechanics. To help readers understand the connections to fluid dynamics, this book shows how particle dynamics occurs in ideal gases, granular gases, and fluid turbulence. Instead of relying on empirical results that apply only under specific circumstances, the book uses broad physical principles such as conservation of mass, momentum, and energy. The text draws on rigorous mathematical theory and modern high-performance computing, while avoiding the complex details. The book also provides extensive references for those readers who need them. While intended for a graduate level audience, the book is written in a graphically-rich style which will be accessible to advanced undergraduates. In particular, it includes over 100 figures and over 200 examples, most of which are placed into grey boxes to avoid interrupting the main text. While surveying the relevant research literature, this book also draws on the author's unique insights into particle aggregation and fragmentation, gained from participating in relevant research and development activities in industry and academia for over 25 years.
Modeling And Simulation For Collective Dynamics
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Author : Weizhu Bao
language : en
Publisher: World Scientific
Release Date : 2023-01-17
Modeling And Simulation For Collective Dynamics written by Weizhu Bao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-17 with Mathematics categories.
The thematic program Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications was held at the Institute for Mathematical Sciences at the National University of Singapore, from September 2019 to March 2020. Leading experts presented tutorials and special lectures geared towards the participating graduate students and junior researchers.Readers will find in this significant volume four expanded lecture notes with self-contained tutorials on modeling and simulation for collective dynamics including individual and population approaches for population dynamics in mathematical biology, collective behaviors for Lohe type aggregation models, mean-field particle swarm optimization, and consensus-based optimization and ensemble Kalman inversion for global optimization problems with constraints.This volume serves to inspire graduate students and researchers who will embark into original research work in kinetic models for collective dynamics and their applications.
Spectral Methods Using Multivariate Polynomials On The Unit Ball
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Author : Kendall Atkinson
language : en
Publisher: CRC Press
Release Date : 2019-11-11
Spectral Methods Using Multivariate Polynomials On The Unit Ball written by Kendall Atkinson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-11 with Mathematics categories.
Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that are diffeomorphic to the unit disk, in two dimensions, and the unit ball, in three dimensions. The speed of convergence of spectral methods is usually much higher than that of finite element or finite difference methods. Features Introduces the use of multivariate polynomials for the construction and analysis of spectral methods for linear and nonlinear boundary value problems Suitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problem One of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials.
Population Balance Of Particles In Flows
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Author : Stelios Rigopoulos
language : en
Publisher: Cambridge University Press
Release Date : 2024-11-21
Population Balance Of Particles In Flows written by Stelios Rigopoulos and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-21 with Mathematics categories.
A self-contained text that explains the population balance methodology, including its coupling with fluid mechanics and its applications.