# Kinetic Boltzmann Vlasov and Related Equations

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- Author : Alexander Sinitsyn
- Publisher : Elsevier
- Release : 17 June 2011
- ISBN : 9780123877802
- Page : 320 pages
- Rating : 4.5/5 from 103 voters

## Kinetic Boltzmann Vlasov and Related Equations Book PDF summary

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

- Author : Alexander Sinitsyn,Eugene Dulov,Victor Vedenyapin
- Publisher : Elsevier
- Release Date : 2011-06-17
- ISBN : 9780123877802

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

- Author : Alexander Sinitsyn,Victor Vedenyapin,Eugene Dulov
- Publisher : Elsevier
- Release Date : 2011
- ISBN : 9780123877796

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

### Boltzmann and Vlasov Equations

- Author : Anonim
- Publisher : Unknown
- Release Date : 2011
- ISBN : OCLC:746233228

### The Cauchy Problem in Kinetic Theory

- Author : Robert T. Glassey
- Publisher : SIAM
- Release Date : 1996-01-01
- ISBN : 9780898713671

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.

### Physics of Long-Range Interacting Systems

- Author : Alessandro Campa,Thierry Dauxois,T. Dauxois,Duccio Fanelli,Stefano Ruffo
- Publisher : Oxford University Press, USA
- Release Date : 2014
- ISBN : 9780199581931

This book presents for the first time, with a broad and unifying perspective, the common aspects and differences of the physics of the interaction between masses (gravitation), charges (Coulomb or dipolar interactions) but also plasma (from astrophysical context to charged beams) and two-dimensional hydrodynamics. The first part describes the theoretical and computational methods needed to address the study of equilibrium of these systems when considering a largenumber of particles. The second part is devoted to the presentation of the dynamical

### Topics in Kinetic Theory

- Author : Thierry Passot,Catherine Sulem,P. L. Sulem
- Publisher : American Mathematical Soc.
- Release Date : 2005
- ISBN : 9780821837238

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

- Author : B. Perthame
- Publisher : World Scientific
- Release Date : 1994
- ISBN : 9810216718

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 (

### Toward General Theory Of Differential-operator And Kinetic Models

- Author : Sidorov Denis,Sidorov Nikolay,Sinitsyn Alexander V
- Publisher : World Scientific
- Release Date : 2020-03-13
- ISBN : 9789811213762

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.