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Author : E. Horst
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (46 download)
Download or read book Global Solutions of the Relativistic Vlasov-Maxwell System of Plasma Physics written by E. Horst and published by . This book was released on 1990 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Sinitsyn
Publisher : Elsevier
ISBN 13 : 0123877806
Total Pages : 320 pages
Book Rating : 4.1/5 (238 download)
Download or read book Kinetic Boltzmann, Vlasov and Related Equations written by Alexander Sinitsyn and published by Elsevier. This book was released on 2011-06-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9781611971477
Total Pages : 254 pages
Book Rating : 4.9/5 (714 download)
Download or read book The Cauchy Problem in Kinetic Theory written by Robert T. Glassey and published by SIAM. This book was released on 1996-01-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume studies the basic equations of kinetic theory in all of space. It contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although these equations describe very different phenomena, they share the same streaming term. The author proves that solutions starting from a given configuration at an initial time exist for all future times by imposing appropriate hypotheses on the initial values in several important cases. He emphasizes those questions that a mathematician would ask first: Is there a solution to this problem? Is it unique? Can it be numerically approximated? The topics treated include the study of the Boltzmann collision operator, the study of the initial-value problem for the Boltzmann equation with "small" and "near equilibrium" data, global smooth solvability of the initial-value problem for the Vlasov-Poisson system with smooth initial data of unrestricted size, conditions under which the initial-value problem for the Vlasov-Maxwell system has global-in-time solutions (in both the smooth and weak senses), and more.
Author : Robert T. Glassey
Publisher : SIAM
ISBN 13 : 0898713676
Total Pages : 246 pages
Book Rating : 4.8/5 (987 download)
Download or read book The Cauchy Problem in Kinetic Theory written by Robert T. Glassey and published by SIAM. This book was released on 1996-01-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Thierry Passot
Publisher : American Mathematical Soc.
ISBN 13 : 0821837230
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topics in Kinetic Theory written by Thierry Passot and published by American Mathematical Soc.. This book was released on 2005 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Yan Guo
Publisher : American Mathematical Soc.
ISBN 13 : 0821820710
Total Pages : 216 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Wave Equations written by Yan Guo and published by American Mathematical Soc.. This book was released on 2000 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents original research papers and expository articles from the conference in honour of Walter A. Strauss's 60th birthday, held at Brown University in Providence, Rhode Island. The book offers a collection of original papers and expository articles mainly devoted to the study of nonlinear wave equations. The articles cover a wide range of topics, including scattering theory, dispersive waves, classical field theory, mathematical fluid dynamics, kinetic theory, stability theory, and variational methods. The book offers a cross-section of current trends and research directions in the study of nonlinear wave equations and related topics.
Author : M K V Murthy
Publisher : CRC Press
ISBN 13 : 9780582087668
Total Pages : 242 pages
Book Rating : 4.0/5 (876 download)
Download or read book Nonlinear Hyperbolic Equations and Field Theory written by M K V Murthy and published by CRC Press. This book was released on 1992-03-30 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June 1990.
Author : Nikolay Sidorov
Publisher : Springer Science & Business Media
ISBN 13 : 940172122X
Total Pages : 563 pages
Book Rating : 4.4/5 (17 download)
Download or read book Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications written by Nikolay Sidorov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE's in mechanics and mathematical physics. The authors expound the recent result on the generalized eigen-value problem, the perturbation method, Schmidt's pseudo-inversion for regularization of linear and nonlinear problems in the branching theory and group methods in bifurcation theory. The book covers regular iterative methods in a neighborhood of branch points and the theory of differential-operator equations with a non-invertible operator in the main expression is constructed. Various recent results on theorems of existence are given including asymptotic, approximate and group methods.
Author : Boling Guo
Publisher : World Scientific
ISBN 13 : 9814544264
Total Pages : 267 pages
Book Rating : 4.8/5 (145 download)
Download or read book Nonlinear Partial Differential Equations And Applications: Proceedings Of The Conference written by Boling Guo and published by World Scientific. This book was released on 1998-10-30 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Direct and Inverse Diffraction by Periodic Structures (G Bao)Weak Flow of H-Systems (Y-M Chen)Strongly Compact Attractor for Dissipative Zakharov Equations (B-L Guo et al.)C∞-Solutions of Generalized Porous Medium Equations (M Ôtani & Y Sugiyama)Cauchy Problem for Generalized IMBq Equation (G-W Chen & S-B Wang)Inertial Manifolds for a Nonlocal Kuramoto–Sivashinsky Equation (J-Q Duan et al.)Weak Solutions of the Generalized Magnetic Flow Equations (S-H He & Z-D Dai)The Solution of Hammerstein Integral Equation Without Coercive Conditions (Y-L Shu)Global Behaviour of the Solution of Nonlinear Forest Evolution Equation (D-J Wang)Uniqueness of Generalized Solutions for Semiconductor Equations (J-S Xing & Y Hu)On the Vectorial Hamilton–Jacobi System (B-S Yan)An Integrable Hamiltonian System Associated with cKdV Hierarchy (J-S Zhang et al.)and other papers Readership: Mathematicians. Keywords:Diffraction;Weak Flow;Zakharov Equations;Porous Medium Equations;Cauchy Problem;IMBq Equation;Kuramoto-Sivashinsky Equation;Magnetic Flow Equations;Hammerstein Integral Equation;Nonlinear Forest Evolution Equation;Uniqueness;Generalized Solutions;Semiconductor Equations;HamiltonâJacobi System;Hamiltonian System;cKdV Hierarchy
Author : Gregory V. Vereshchagin
Publisher : Cambridge University Press
ISBN 13 : 1316982564
Total Pages : 343 pages
Book Rating : 4.3/5 (169 download)
Download or read book Relativistic Kinetic Theory written by Gregory V. Vereshchagin and published by Cambridge University Press. This book was released on 2017-02-16 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic kinetic theory has widespread application in astrophysics and cosmology. The interest has grown in recent years as experimentalists are now able to make reliable measurements on physical systems where relativistic effects are no longer negligible. This ambitious monograph is divided into three parts. It presents the basic ideas and concepts of this theory, equations and methods, including derivation of kinetic equations from the relativistic BBGKY hierarchy and discussion of the relation between kinetic and hydrodynamic levels of description. The second part introduces elements of computational physics with special emphasis on numerical integration of Boltzmann equations and related approaches, as well as multi-component hydrodynamics. The third part presents an overview of applications ranging from covariant theory of plasma response, thermalization of relativistic plasma, comptonization in static and moving media to kinetics of self-gravitating systems, cosmological structure formation and neutrino emission during the gravitational collapse.
Author : Nikolay Sidorov
Publisher : World Scientific
ISBN 13 : 9811213763
Total Pages : 495 pages
Book Rating : 4.8/5 (112 download)
Download or read book Toward General Theory Of Differential-operator And Kinetic Models written by Nikolay Sidorov and published by World Scientific. This book was released on 2020-03-13 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Valery B. Krasovitskii
Publisher : Nova Publishers
ISBN 13 : 9781600215155
Total Pages : 234 pages
Book Rating : 4.2/5 (151 download)
Download or read book Instabilities of Relativistic Electron Beam in Plasma written by Valery B. Krasovitskii and published by Nova Publishers. This book was released on 2008 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the non-linear theory of the collective interaction between a modulated beam of relativistic charged particles and narrow electromagnetic and Langmuir wave packets in plasma or gas slow-wave systems. Regular oscillations excited by a relativistic beam under the conditions of Cherenkov resonance and the anomalous Doppler effect can be used to generate coherent microwave radiation and accelerate charged particles in plasma.
Author : Indiana University. Department of Mathematics
Publisher :
ISBN 13 :
Total Pages : 564 pages
Book Rating : 4.3/5 (91 download)
Download or read book Indiana University Mathematics Journal written by Indiana University. Department of Mathematics and published by . This book was released on 1990 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Stefan
Publisher : Springer Science & Business Media
ISBN 13 : 9780883187876
Total Pages : 786 pages
Book Rating : 4.1/5 (878 download)
Download or read book Nonlinear and Relativistic Effects in Plasmas written by V. Stefan and published by Springer Science & Business Media. This book was released on 1991-11-01 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Blurb & Contents" Culled from the thousands of papers published in American Institute of Physics Soviet Translation journals during 1987 and 1988, this reprint collection presents 91 of the Russia's finest papers on semiconductor physics and technology. In their selections, the editors were advised and assisted by leading experts in the field from both Russia and the United States, resulting in a collection objectively representing only the most important and enduring Russian contributions to semiconductor physics and technology.
Author : C.M. Dafermos
Publisher : Elsevier
ISBN 13 : 008046565X
Total Pages : 653 pages
Book Rating : 4.0/5 (84 download)
Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2011-09-22 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material collected in this volume reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear parabolic PDE's. Articles will highlight the present as well as expected future directions of development of the field with particular emphasis on applications. The article by Ambrosio and Savaré discusses the most recent development in the theory of gradient flow of probability measures. After an introduction reviewing the properties of the Wasserstein space and corresponding subdifferential calculus, applications are given to evolutionary partial differential equations. The contribution of Herrero provides a description of some mathematical approaches developed to account for quantitative as well as qualitative aspects of chemotaxis. Particular attention is paid to the limits of cell's capability to measure external cues on the one hand, and to provide an overall description of aggregation models for the slim mold Dictyostelium discoideum on the other. The chapter written by Masmoudi deals with a rather different topic - examples of singular limits in hydrodynamics. This is nowadays a well-studied issue given the amount of new results based on the development of the existence theory for rather general systems of equations in hydrodynamics. The paper by DeLellis addreses the most recent results for the transport equations with regard to possible applications in the theory of hyperbolic systems of conservation laws. Emphasis is put on the development of the theory in the case when the governing field is only a BV function. The chapter by Rein represents a comprehensive survey of results on the Poisson-Vlasov system in astrophysics. The question of global stability of steady states is addressed in detail. The contribution of Soner is devoted to different representations of non-linear parabolic equations in terms of Markov processes. After a brief introduction on the linear theory, a class of non-linear equations is investigated, with applications to stochastic control and differential games. The chapter written by Zuazua presents some of the recent progresses done on the problem of controllabilty of partial differential equations. The applications include the linear wave and heat equations,parabolic equations with coefficients of low regularity, and some fluid-structure interaction models. - Volume 1 focuses on the abstract theory of evolution - Volume 2 considers more concrete probelms relating to specific applications - Volume 3 reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear PDEs
Author : Günter Ecker
Publisher : Academic Press
ISBN 13 : 1483270475
Total Pages : 361 pages
Book Rating : 4.4/5 (832 download)
Download or read book Theory of Fully Ionized Plasmas written by Günter Ecker and published by Academic Press. This book was released on 2013-10-22 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Fully Ionized Plasmas deals with the theory of fully ionized plasmas, with emphasis on their resistant groups, namely, electrons and nuclei. A model of the fully ionized plasma is presented based in part on the assumption that the system is sufficiently large so that the behavior of its individuals is not affected by the presence of boundaries. Where this assumption is applied the fully ionized plasma is called a Coulomb system. Comprised of six chapters, this book begins with a discussion on the Coulomb system as the fully ionized system in the quasi-static electromagnetic field. The equilibrium and non-equilibrium states of this Coulomb system, with or without individual particle correlations, are considered. The macroscopic and microscopic qualities of the Coulomb system are also described, together with its partition function and Landau's solution to the Vlasov equation. The second part explores the fully ionized system in the general electromagnetic field and addresses single-particle radiation and many-particle interactions with electromagnetic fields. This monograph is intended for graduate students and research workers in the field of plasma physics, astrophysics, or related topics.
Author : Jerzy August Gawinecki
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.3/5 (121 download)
Download or read book Global Solutions to Initial Value Problems in Nonlinear Hyperbolic Thermoelasticity written by Jerzy August Gawinecki and published by . This book was released on 1995 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
