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| Author | : Alexander Sinitsyn |
| Publisher | : Elsevier |
| Total Pages | : 320 |
| Release | : 2011-06-17 |
| Genre | : Mathematics |
| ISBN | : 0123877806 |
Download Kinetic Boltzmann, Vlasov and Related Equations Book in PDF, ePub and Kindle
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 |
| Publisher | : Elsevier |
| Total Pages | : 322 |
| Release | : 2011-06-17 |
| Genre | : Mathematics |
| ISBN | : 0123877792 |
Download Kinetic Boltzmann, Vlasov and Related Equations Book in PDF, ePub and Kindle
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 |
| Total Pages | : 246 |
| Release | : 1996-01-01 |
| Genre | : Science |
| ISBN | : 0898713676 |
Download The Cauchy Problem in Kinetic Theory Book in PDF, ePub and Kindle
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 | : Richard L. Liboff |
| Publisher | : |
| Total Pages | : 424 |
| Release | : 1969 |
| Genre | : Science |
| ISBN | : |
Download Introduction to the Theory of Kinetic Equations Book in PDF, ePub and Kindle
| Author | : Benoit Perthame |
| Publisher | : World Scientific |
| Total Pages | : 228 |
| Release | : 1994-09-30 |
| Genre | : Mathematics |
| ISBN | : 9814502332 |
Download Advances In Kinetic Theory And Computing : Selected Papers Book in PDF, ePub and Kindle
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 | : Richard L. Liboff |
| Publisher | : Gordon & Breach Publishing Group |
| Total Pages | : 382 |
| Release | : 1971 |
| Genre | : Science |
| ISBN | : |
Download Kinetic Equations Book in PDF, ePub and Kindle
Papers presented at a symposium held at Cornell University, June, 1969.
| Author | : R.L. Liboff |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 587 |
| Release | : 2003-09-02 |
| Genre | : Science |
| ISBN | : 0387955518 |
Download Kinetic Theory Book in PDF, ePub and Kindle
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 | : Thierry Passot |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 322 |
| Release | : 2005 |
| Genre | : Science |
| ISBN | : 0821837230 |
Download Topics in Kinetic Theory Book in PDF, ePub and Kindle
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 | : B. Perthame |
| Publisher | : World Scientific |
| Total Pages | : 232 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 9789810216719 |
Download Advances in Kinetic Theory and Computing Book in PDF, ePub and Kindle
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 | : C. Cercignani |
| Publisher | : Springer |
| Total Pages | : 250 |
| Release | : 2006-11-14 |
| Genre | : Science |
| ISBN | : 3540387773 |
Download Kinetic Theories and the Boltzmann Equation Book in PDF, ePub and Kindle
