Advances In Kinetic Theory And Computing PDF Download
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| 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 | : 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 | : Giacomo Albi |
| Publisher | : Springer Nature |
| Total Pages | : 251 |
| Release | : 2021-07-15 |
| Genre | : Science |
| ISBN | : 3030671046 |
Download Trails in Kinetic Theory Book in PDF, ePub and Kindle
In recent decades, kinetic theory - originally developed as a field of mathematical physics - has emerged as one of the most prominent fields of modern mathematics. In recent years, there has been an explosion of applications of kinetic theory to other areas of research, such as biology and social sciences. This book collects lecture notes and recent advances in the field of kinetic theory of lecturers and speakers of the School “Trails in Kinetic Theory: Foundational Aspects and Numerical Methods”, hosted at Hausdorff Institute for Mathematics (HIM) of Bonn, Germany, 2019, during the Junior Trimester Program “Kinetic Theory”. Focusing on fundamental questions in both theoretical and numerical aspects, it also presents a broad view of related problems in socioeconomic sciences, pedestrian dynamics and traffic flow management.
| Author | : Francesco Salvarani |
| Publisher | : Springer Nature |
| Total Pages | : 398 |
| Release | : 2022-01-01 |
| Genre | : Mathematics |
| ISBN | : 3030829464 |
Download Recent Advances in Kinetic Equations and Applications Book in PDF, ePub and Kindle
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 | : J. R. Mika |
| Publisher | : World Scientific |
| Total Pages | : 332 |
| Release | : 1995 |
| Genre | : Science |
| ISBN | : 9789810221256 |
Download Singularly Perturbed Evolution Equations with Applications to Kinetic Theory Book in PDF, ePub and Kindle
In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters. In this book it is intended to gather the existing results as well as to introduce new ones on the field of initial value problems for singularly perturbed evolution equations of the resonance type. Such equations are of great interest in the applied sciences, particularly in the kinetic theory which is chosen as the main field of application for the asymptotic theory developed in the monograph.
| 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 | : Carlo Cercignani |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 274 |
| Release | : 2007-12-03 |
| Genre | : Science |
| ISBN | : 0817645543 |
Download Transport Phenomena and Kinetic Theory Book in PDF, ePub and Kindle
The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.
| Author | : Vinicio C Boffi |
| Publisher | : World Scientific |
| Total Pages | : 284 |
| Release | : 1992-10-28 |
| Genre | : |
| ISBN | : 9814554456 |
Download Nonlinear Kinetic Theory And Mathematical Aspects Of Hyperbolic Systems Book in PDF, ePub and Kindle
Contents: Mathematical Biology and Kinetic Theory Evolution of the Dominance in a Population of Interacting Organisms (N Bellomo & M Lachowicz)Formation of Maxwellian Tails (A V Bobylev)On Long Time Asymptotics of the Vlasov-Poisson-Boltzmann System (J Dolbeault)The Classical Limit of a Self-Consistent Quantum-Vlasov Equation in 3-D (P A Markowich & N J Mauser)Simple Balance Methods for Transport in Stochastic Mixtures (G C Pomraning)Knudsen Layer Analysis by the Semicontinuous Boltzmann Equation (L Preziosi)Remarks on a Self Similar Fluid Dynamic Limit for the Broadwell System (M Slemrod & A E Tzavaras)On Extended Kinetic Theory with Chemical Reaction (C Spiga)Stability and Exponential Convergence in Lp for the Spatially Homogeneous Boltzmann Equation (B Wennberg)and other papers Readership: Applied mathematicians. keywords:Proceedings;Workshop;Rapallo (Italy);Kinetic Theory;Hyperbolic Systems;Nonlinear Kinetic Theory
| Author | : Carlo Cercignani |
| Publisher | : Birkhäuser |
| Total Pages | : 271 |
| Release | : 2006-12-12 |
| Genre | : Science |
| ISBN | : 9780817644895 |
Download Transport Phenomena and Kinetic Theory Book in PDF, ePub and Kindle
The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.
| Author | : P. Ciarlini |
| Publisher | : World Scientific |
| Total Pages | : 396 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 9789810244941 |
Download Advanced Mathematical & Computational Tools in Metrology V Book in PDF, ePub and Kindle
Advances in metrology depend on improvements in scientific and technical knowledge and in instrumentation quality, as well as on better use of advanced mathematical tools and development of new ones. In this volume, scientists from both the mathematical and the metrological fields exchange their experiences. Industrial sectors, such as instrumentation and software, will benefit from this exchange, since metrology has a high impact on the overall quality of industrial products, and applied mathematics is becoming more and more important in industrial processes.This book is of interest to people in universities, research centers and industries who are involved in measurements and need advanced mathematical tools to solve their problems, and also to those developing such mathematical tools.
