Kinetic Boltzmann Vlasov And Related Equations

Author : Alexander Sinitsyn,Eugene Dulov,Victor Vedenyapin
Publisher : Elsevier
Page : 320 pages
File Size : 55,5 Mb
Release : 2011-06-17
Category : Mathematics
ISBN : 9780123877802

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Kinetic Boltzmann, Vlasov and Related Equations by Alexander Sinitsyn,Eugene Dulov,Victor Vedenyapin Pdf

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

Author : Alexander Sinitsyn,Victor Vedenyapin,Eugene Dulov
Publisher : Elsevier
Page : 322 pages
File Size : 47,6 Mb
Release : 2011-06-17
Category : Mathematics
ISBN : 9780123877796

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Kinetic Boltzmann, Vlasov and Related Equations by Alexander Sinitsyn,Victor Vedenyapin,Eugene Dulov Pdf

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

Author : Robert T. Glassey
Publisher : SIAM
Page : 246 pages
File Size : 53,6 Mb
Release : 1996-01-01
Category : Science
ISBN : 9780898713671

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The Cauchy Problem in Kinetic Theory by Robert T. Glassey Pdf

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.

Author : Donald Gary Swanson
Publisher : CRC Press
Page : 334 pages
File Size : 44,5 Mb
Release : 2008-05-13
Category : Science
ISBN : 9781420075816

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Plasma Kinetic Theory by Donald Gary Swanson Pdf

Developed from the lectures of a leading expert in plasma wave research, Plasma Kinetic Theory provides the essential material for an introductory course on plasma physics as well as the basis for a more advanced course on kinetic theory. Exploring various wave phenomena in plasmas, it offers wide-ranging coverage of the field. After intr

Author : Richard L. Liboff
Publisher : Unknown
Page : 424 pages
File Size : 46,6 Mb
Release : 1969
Category : Science
ISBN : UOM:39015001330524

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Introduction to the Theory of Kinetic Equations by Richard L. Liboff Pdf

Author : R.L. Liboff
Publisher : Springer Science & Business Media
Page : 587 pages
File Size : 42,5 Mb
Release : 2006-03-30
Category : Science
ISBN : 9780387217758

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Kinetic Theory by R.L. Liboff Pdf

This book goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. The third edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.

Author : Richard L. Liboff,Norman Rostoker
Publisher : Gordon & Breach Publishing Group
Page : 382 pages
File Size : 54,7 Mb
Release : 1971
Category : Science
ISBN : UOM:39015001322653

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Kinetic Equations by Richard L. Liboff,Norman Rostoker Pdf

Papers presented at a symposium held at Cornell University, June, 1969.

Author : B. Perthame
Publisher : World Scientific
Page : 232 pages
File Size : 43,6 Mb
Release : 1994
Category : Mathematics
ISBN : 9810216718

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Advances in Kinetic Theory and Computing by B. Perthame Pdf

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 (F Poupaud). In addition, there are 2 papers on the modelling and analysis of singular perturbation problems arising in plasma physics ? Derivation of the Child-Lagmuyr Emission Laws (P Degond) and Euler Models with Small Pressure Terms (F Bouchut) ? followed by two papers on the analysis and numerical analysis of the Boltzmann equations ? Symmetry Properties in the Polynomials Arising in Chapman-Enskog Expansion (L Desvillettes and F Golse) and A General Introduction to Computing the Boltzmann Equations with Random Particle Methods (B Perthame).

Author : Thierry Passot,Catherine Sulem,P. L. Sulem
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 43,9 Mb
Release : 2005
Category : Science
ISBN : 9780821837238

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Topics in Kinetic Theory by Thierry Passot,Catherine Sulem,P. L. Sulem Pdf

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. Special interest is devoted to asymptotic regimes where the scales of variation of the electromagnetic field are clearly separated from those associated with the gyromotion of the particles. This volume collects lectures given at the Short Course and Workshop on Kinetic Theory organized at the Fields Institute of Mathematical Sciences in Toronto during the Spring of 2004.

Author : Carlo Cercignani,Gilberto M. Kremer
Publisher : Birkhäuser
Page : 391 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034881654

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The Relativistic Boltzmann Equation: Theory and Applications by Carlo Cercignani,Gilberto M. Kremer Pdf

The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.

Author : Francesco Salvarani
Publisher : Springer Nature
Page : 398 pages
File Size : 50,5 Mb
Release : 2022-01-01
Category : Mathematics
ISBN : 9783030829469

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Recent Advances in Kinetic Equations and Applications by Francesco Salvarani Pdf

The volume covers most of the topics addressed and discussed during the Workshop INdAM "Recent advances in kinetic equations and applications", which took place in Rome (Italy), from November 11th to November 15th, 2019. The volume contains results on kinetic equations for reactive and nonreactive mixtures and on collisional and noncollisional Vlasov equations for plasmas. Some contributions are devoted to the study of phase transition phenomena, kinetic problems with nontrivial boundary conditions and hierarchies of models. The book, addressed to researchers interested in the mathematical and numerical study of kinetic equations, provides an overview of recent advances in the field and future research directions.

Author : C. Cercignani
Publisher : Springer
Page : 219 pages
File Size : 49,8 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709127629

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Kinetic Theory and Gas Dynamics by C. Cercignani Pdf

Author : Centro internazionale matematico estivo
Publisher : Springer
Page : 264 pages
File Size : 48,7 Mb
Release : 1984
Category : Mathematics
ISBN : STANFORD:36105031992253

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Kinetic Theories and the Boltzmann Equation by Centro internazionale matematico estivo Pdf

Author : C. Cercignani
Publisher : Springer
Page : 250 pages
File Size : 47,5 Mb
Release : 2006-11-14
Category : Science
ISBN : 9783540387770

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Kinetic Theories and the Boltzmann Equation by C. Cercignani Pdf

Author : J. A. Bittencourt
Publisher : Elsevier
Page : 730 pages
File Size : 43,5 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483293196

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Fundamentals of Plasma Physics by J. A. Bittencourt Pdf

A general introduction designed to present a comprehensive, logical and unified treatment of the fundamentals of plasma physics based on statistical kinetic theory. Its clarity and completeness make it suitable for self-learning and self-paced courses. Problems are included.