Kinetic Equations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Kinetic Equations PDF full book. Access full book title Kinetic Equations.
Author | : Pierre Degond |
Publisher | : Springer Science & Business Media |
Total Pages | : 360 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0817682007 |
Download Modeling and Computational Methods for Kinetic Equations Book in PDF, ePub and Kindle
In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Author | : C. Cercignani |
Publisher | : Springer Science & Business Media |
Total Pages | : 252 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9401155585 |
Download Many-Particle Dynamics and Kinetic Equations Book in PDF, ePub and Kindle
As our title suggests, there are two aspects in the subject of this book. The first is the mathematical investigation of the dynamics of infinite systems of in teracting particles and the description of the time evolution of their states. The second is the rigorous derivation of kinetic equations starting from the results of the aforementioned investigation. As is well known, statistical mechanics started in the last century with some papers written by Maxwell and Boltzmann. Although some of their statements seemed statistically obvious, we must prove that they do not contradict what me chanics predicts. In some cases, in particular for equilibrium states, it turns out that mechanics easily provides the required justification. However things are not so easy, if we take a step forward and consider a gas is not in equilibrium, as is, e.g., the case for air around a flying vehicle. Questions of this kind have been asked since the dawn of the kinetic theory of gases, especially when certain results appeared to lead to paradoxical conclu sions. Today this matter is rather well understood and a rigorous kinetic theory is emerging. The importance of these developments stems not only from the need of providing a careful foundation of such a basic physical theory, but also to exhibit a prototype of a mathematical construct central to the theory of non-equilibrium phenomena of macroscopic size.
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 | : Shi Jin |
Publisher | : Springer |
Total Pages | : 282 |
Release | : 2018-03-20 |
Genre | : Mathematics |
ISBN | : 3319671103 |
Download Uncertainty Quantification for Hyperbolic and Kinetic Equations Book in PDF, ePub and Kindle
This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many areas in engineering, physics, biology and the social sciences. Accordingly, the book provides the scientific community with a topical overview of the latest research efforts.
Author | : Alexander Sinitsyn |
Publisher | : Elsevier |
Total Pages | : 321 |
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 | : François Bouchut |
Publisher | : Elsevier Masson |
Total Pages | : 180 |
Release | : 2000 |
Genre | : Science |
ISBN | : |
Download Kinetic Equations and Asymptotic Theory Book in PDF, ePub and Kindle
Author | : Alexander V. Bobylev |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 260 |
Release | : 2020-10-12 |
Genre | : Mathematics |
ISBN | : 3110550989 |
Download Kinetic Equations Book in PDF, ePub and Kindle
This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The first volume covers many-particle dynamics, Maxwell models of the Boltzmann equation (including their exact and self-similar solutions), and hydrodynamic limits beyond the Navier-Stokes level.
Author | : J. K. Baker |
Publisher | : |
Total Pages | : 18 |
Release | : 1959 |
Genre | : Differential equations |
ISBN | : |
Download A Method for Simulating Reactor Kinetic Equations Over Many Decades Book in PDF, ePub and Kindle
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 | : A Hochstim |
Publisher | : Elsevier |
Total Pages | : 473 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0323149111 |
Download Kinetic Processes in Gases and Plasmas Book in PDF, ePub and Kindle
Kinetic Processes in Gases and Plasmas provides a survey of studies on transport and chemical kinetic processes in high temperature gases and plasmas. The book is concerned with conditions produced by the interaction of an object with the atmosphere at hypersonic velocities. The text also provides a foundation for the flow field equations which include chemical reactions and other transport processes, and to present in some detail the microscopic considerations underlying these calculations. Chapters are devoted to the discussion of topics such as the molecular theory of transport equations; transport processes in ionized gases; and inelastic energy transfer processes and chemical kinetics. Aerospace engineers, physicists, chemists, and astrophysicists will find the book a good reference material.