1# Library to Find Best eBook for Read
Author : Luisa Arlotti
Release : 2003
Genre : Electronic books
Kind : eBook
Book Rating : 045/5 ( reviews)
Book Synopsis Generalized Kinetic Models in Applied Sciences by : Luisa Arlotti
Download or read book Generalized Kinetic Models in Applied Sciences written by Luisa Arlotti. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luisa Arlotti
Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 604/5 ( reviews)
Book Synopsis Generalized Kinetic Models in Applied Sciences by : Luisa Arlotti
Download or read book Generalized Kinetic Models in Applied Sciences written by Luisa Arlotti. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with analytic problems related to some developments and generalizations of the Boltzmann equation toward the modeling and qualitative analysis of large systems that are of interest in applied sciences. These generalizations are documented in the various surveys edited by Bellomo and Pulvirenti with reference to models of granular media, traffic flow, mathematical biology, communication networks, and coagulation models. The first generalization dealt with refers to the averaged Boltzmann equation, which is obtained by suitable averaging of the distribution function of the field particles into the action domain of the test particle. This model is further developed to describe equations with dissipative collisions and a class of models that are of interest in mathematical biology. In this latter case the state of the particles is defined not only by a mechanical variable but also by a biological microscopic state.
Author : N. Bellomo
Release : 2000
Genre : Science
Kind : eBook
Book Rating : 783/5 ( reviews)
Book Synopsis Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models by : N. Bellomo
Download or read book Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models written by N. Bellomo. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models. In particular, these models appear in evolution equations for the statistical distribution over the physical state of each individual of a large population. The evolution is determined both by interactions among individuals and by external actions. Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions.
Author : Luisa Arlotti
Release : 2003-08-12
Genre : Mathematics
Kind : eBook
Book Rating : 174/5 ( reviews)
Book Synopsis Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems by : Luisa Arlotti
Download or read book Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems written by Luisa Arlotti. This book was released on 2003-08-12. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with analytic problems related to some developments and generalizations of the Boltzmann equation toward the modeling and qualitative analysis of large systems that are of interest in applied sciences. These generalizations are documented in the various surveys edited by Bellomo and Pulvirenti with reference to models of granular media, traffic flow, mathematical biology, communication networks, and coagulation models.The above literature motivates applied mathematicians to study the Cauchy problem and to develop an asymptotic analysis for models regarded as developments of the Boltzmann equation. This book aims to initiate the research plan by the analyzing afore mentioned analysis problems.The first generalization dealt with refers to the averaged Boltzmann equation, which is obtained by suitable averaging of the distribution function of the field particles into the action domain of the test particle. This model is further developed to describe equations with dissipative collisions and a class of models that are of interest in mathematical biology. In this latter case the state of the particles is defined not only by a mechanical variable but also by a biological microscopic state.The book is essentially devoted to analytic aspects and deals with the analysis of the Cauchy problem and with the development of an asymptotic theory to obtain the macroscopic description from the mesoscopic one.
Author : Ronald E. Mickens
Release : 2004
Genre : Technology & Engineering
Kind : eBook
Book Rating : 509/5 ( reviews)
Book Synopsis Mathematical Methods for the Natural and Engineering Sciences by : Ronald E. Mickens
Download or read book Mathematical Methods for the Natural and Engineering Sciences written by Ronald E. Mickens. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.
