Kinetic Boltzmann Vlasov and Related Equations

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  • Author : Alexander Sinitsyn
  • Publisher : Elsevier
  • Pages : 320 pages
  • ISBN : 0123877806
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Kinetic Boltzmann Vlasov and Related Equations

Download or Read online Kinetic Boltzmann Vlasov and Related Equations full in PDF, ePub and kindle. this book written by Alexander Sinitsyn and published by Elsevier which was released on 17 June 2011 with total page 320 pages. We cannot guarantee that Kinetic Boltzmann Vlasov and Related Equations book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory. This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. Reviews the whole field from the beginning to today Includes practical applications Provides classical and modern (semi-analytical) solutions

Kinetic Boltzmann Vlasov and Related Equations

Kinetic Boltzmann  Vlasov and Related Equations
  • Author : Alexander Sinitsyn,Eugene Dulov,Victor Vedenyapin
  • Publisher : Elsevier
  • Release : 17 June 2011
GET THIS BOOK Kinetic Boltzmann Vlasov and Related Equations

Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation

Kinetic Boltzmann Vlasov and Related Equations

Kinetic Boltzmann  Vlasov and Related Equations
  • Author : Alexander Sinitsyn,Victor Vedenyapin,Eugene Dulov
  • Publisher : Elsevier
  • Release : 15 August 2022
GET THIS BOOK Kinetic Boltzmann Vlasov and Related Equations

Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation

Topics in Kinetic Theory

Topics in Kinetic Theory
  • Author : Thierry Passot,Catherine Sulem,P. L. Sulem
  • Publisher : American Mathematical Soc.
  • Release : 15 August 2022
GET THIS BOOK Topics in Kinetic Theory

This book covers a variety of topics related to kinetic theory in neutral gases and magnetized plasmas, with extensions to other systems such as quantum plasmas and granular flows. A comprehensive presentation is given for the Boltzmann equations and other kinetic equations for a neutral gas, together with the derivations of compressible and incompressible fluid dynamical systems, and their rigorous justification. Several contributions are devoted to collisionless magnetized plasmas. Rigorous results concerning the well-posedness of the Vlasov-Maxwell system are presented.

Advances in Kinetic Theory and Computing

Advances in Kinetic Theory and Computing
  • Author : B. Perthame
  • Publisher : World Scientific
  • Release : 15 August 1994
GET THIS BOOK Advances in Kinetic Theory and Computing

This selection of 8 papers discusses ?Equations of Kinetic Physics? with emphasis on analysis, modelling and computing. The first 3 papers are on numerical methods for Vlasov-Poisson and Vlasov-Maxwell Equations ? Comparison between Particles and Eulerian Methods (G Manfredi and M R Feix), Computing BGK Instability with Eulerian Codes (M R Feix, Pertrand & A Ghieco) and Coupling Particles and Eulerian Methods (S Mas-Gallic and P A Raviart) ? Followed by a survey of kinetic and macroscopic models for semiconductor devices ? Boltzmann Equation, Drift-Diffusion Models (

The Cauchy Problem in Kinetic Theory

The Cauchy Problem in Kinetic Theory
  • Author : Robert T. Glassey
  • Publisher : SIAM
  • Release : 01 January 1996
GET THIS BOOK The Cauchy Problem in Kinetic Theory

Studies the basic equations of kinetic theory in all of space, and contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations. This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although describing very different phenomena, these equations share the same streaming term.

Toward General Theory Of Differential operator And Kinetic Models

Toward General Theory Of Differential operator And Kinetic Models
  • Author : Sidorov Denis,Sidorov Nikolay,Sinitsyn Alexander V
  • Publisher : World Scientific
  • Release : 13 March 2020
GET THIS BOOK Toward General Theory Of Differential operator And Kinetic Models

This volume provides a comprehensive introduction to the modern theory of differential-operator and kinetic models including Vlasov-Maxwell, Fredholm, Lyapunov-Schmidt branching equations to name a few. This book will bridge the gap in the considerable body of existing academic literature on the analytical methods used in studies of complex behavior of differential-operator equations and kinetic models. This monograph will be of interest to mathematicians, physicists and engineers interested in the theory of such non-standard systems.

Hyperbolic and Kinetic Models for Self organised Biological Aggregations

Hyperbolic and Kinetic Models for Self organised Biological Aggregations
  • Author : Raluca Eftimie
  • Publisher : Springer
  • Release : 07 January 2019
GET THIS BOOK Hyperbolic and Kinetic Models for Self organised Biological Aggregations

This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. Here we combine an overview of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria that interact locally and non-locally, with analytical and numerical mathematical techniques that can be used to investigate the spatio-temporal patterns produced by said individuals/cells/bacteria. Richly

Differential Equations on Measures and Functional Spaces

Differential Equations on Measures and Functional Spaces
  • Author : Vassili Kolokoltsov
  • Publisher : Springer
  • Release : 20 June 2019
GET THIS BOOK Differential Equations on Measures and Functional Spaces

This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general kinetic equations and fractional evolutions. The level of generality chosen is suitable for the study of the most important nonlinear equations of mathematical physics, such as Boltzmann, Smoluchovskii, Vlasov, Landau-Fokker-Planck, Cahn-Hilliard,

Statistical Mechanics And The Physics Of Many particle Model Systems

Statistical Mechanics And The Physics Of Many particle Model Systems
  • Author : Kuzemsky Alexander Leonidovich
  • Publisher : World Scientific
  • Release : 24 February 2017
GET THIS BOOK Statistical Mechanics And The Physics Of Many particle Model Systems

The book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
  • Author : B. Cockburn,C. Johnson,C.-W. Shu,E. Tadmor
  • Publisher : Springer
  • Release : 14 November 2006
GET THIS BOOK Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are

The Lattice Boltzmann Equation For Complex States of Flowing Matter

The Lattice Boltzmann Equation  For Complex States of Flowing Matter
  • Author : Sauro Succi
  • Publisher : Oxford University Press
  • Release : 13 April 2018
GET THIS BOOK The Lattice Boltzmann Equation For Complex States of Flowing Matter

Flowing matter is all around us, from daily-life vital processes (breathing, blood circulation), to industrial, environmental, biological, and medical sciences. Complex states of flowing matter are equally present in fundamental physical processes, far remote from our direct senses, such as quantum-relativistic matter under ultra-high temperature conditions (quark-gluon plasmas). Capturing the complexities of such states of matter stands as one of the most prominent challenges of modern science, with multiple ramifications to physics, biology, mathematics, and computer science. As a result,