Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models
eBook - PDF

Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models

  1. 356 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models

Book details
Table of contents
Citations

About This Book

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.

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Yes, you can access Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models by Nicola Bellomo, Mauro Lo Schiavo in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Science General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
World Scientific
Year
2000
ISBN
9789812813336
Topic
Biological Sciences
Subtopic
Science General
Index
Biological Sciences

Table of contents

  1. Contents
  2. Preface
  3. Chapter 1 Generalized Kinetic Models
  4. Chapter 2 Mathematical Background: Measure, Integration, Topology
  5. Chapter 3 Models of Population Dynamics with Stochastic Interactions
  6. Chapter 4 Generalized Kinetic Models for Coagulation and Fragmentation
  7. Chapter 5 Kinetic Cellular Models in the Immune System Competition
  8. Chapter 6 Kinetic Models for the Evolution of Antigens Generalized Shape
  9. Chapter 7 The Boltzmann Model
  10. Chapter 8 Generalized Kinetic Models for Traffic Flow
  11. Chapter 9 Dissipative Kinetic Models for Disparate Mixtures
  12. Chapter 10 Research Perspectives
  13. Books and Review Papers
  14. Series on Advances in Mathematics for Applied Sciences