Lecture Notes on the Mathematical Theory of the Boltzmann Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lecture Notes on the Mathematical Theory of the Boltzmann Equation write by N. Bellomo. This book was released on 1995. Lecture Notes on the Mathematical Theory of the Boltzmann Equation available in PDF, EPUB and Kindle. This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.
Lecture Notes on the Discretization of the Boltzmann Equation
Lecture Notes on the Discretization of the Boltzmann Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lecture Notes on the Discretization of the Boltzmann Equation write by Nicola Bellomo. This book was released on 2003. Lecture Notes on the Discretization of the Boltzmann Equation available in PDF, EPUB and Kindle. This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community. Contents: From the Boltzmann Equation to Discretized Kinetic Models (N Bellomo & R Gatignol); Discrete Velocity Models for Gas Mixtures (C Cercignani); Discrete Velocity Models with Multiple Collisions (R Gatignol); Discretization of the Boltzmann Equation and the Semicontinuous Model (L Preziosi & L Rondoni); Semi-continuous Extended Kinetic Theory (W Koller); Steady Kinetic Boundary Value Problems (H Babovsky et al.); Computational Methods and Fast Algorithms for the Boltzmann Equation (L Pareschi); Discrete Velocity Models and Dynamical Systems (A Bobylev & N Bernhoff); Numerical Method for the Compton Scattering Operator (C Buet & S Cordier); Discrete Models of the Boltzmann Equation in Quantum Optics and Arbitrary Partition of the Velocity Space (F Schrrer). Readership: Higher level postgraduates in applied mathematics.
Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models
Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models write by N. Bellomo. This book was released on 2000. Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models available in PDF, EPUB and Kindle. 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.
Entropy Methods for the Boltzmann Equation
Entropy Methods for the Boltzmann Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Entropy Methods for the Boltzmann Equation write by . This book was released on 2007. Entropy Methods for the Boltzmann Equation available in PDF, EPUB and Kindle.
Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows
Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows write by V.V. Aristov. This book was released on 2012-12-06. Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows available in PDF, EPUB and Kindle. This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of nonequilibrium gas flows on the basis of direct integration of the kinetic equations. Nevertheless, there are some new aspects in the way this topic is treated in the present monograph. In particular, attention is paid to the advantages of the Boltzmann equation as a tool for considering nonequi librium, nonlinear processes. New fields of application of the Boltzmann equation are also described. Solutions of some problems are obtained with higher accuracy. Numerical procedures, such as parallel computing, are in vestigated for the first time. The structure and the contents of the present book have some com mon features with the monograph mentioned above, although there are new issues concerning the mathematical apparatus developed so that the Boltzmann equation can be applied for new physical problems. Because of this some chapters have been rewritten and checked again and some new chapters have been added.
