Entropy Methods for the Boltzmann Equation
Author:
Publisher: Springer Science & Business Media
Published: 2007
Total Pages: 122
ISBN-13: 3540737049
DOWNLOAD EBOOKPosts
Entropy Methods for the Boltzmann Equation
Author: Fraydoun Rezakhanlou
Publisher: Springer
Published: 2007-12-22
Total Pages: 122
ISBN-13: 3540737057
DOWNLOAD EBOOKFeaturing updated versions of two research courses held at the Centre Émile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
Hydrodynamic Limits of the Boltzmann Equation
Author: Laure Saint-Raymond
Publisher: Springer Science & Business Media
Published: 2009-03-26
Total Pages: 203
ISBN-13: 3540928464
DOWNLOAD EBOOK"The material published in this volume comes essentially from a course given at the Conference on "Boltzmann equation and fluidodynamic limits", held in Trieste in June 2006." -- preface.
Lectures on Gas Theory
Author: Ludwig Boltzmann
Publisher: Univ of California Press
Published: 2023-11-15
Total Pages: 500
ISBN-13: 0520327470
DOWNLOAD EBOOKThis title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1964.
The Old Quantum Theory
Author: D. Ter Haar
Publisher: Elsevier
Published: 2016-07-07
Total Pages: 217
ISBN-13: 1483151964
DOWNLOAD EBOOKThe Old Quantum Theory explains how the classical laws were modified by Planck, Einstein, Rutherford, Bohr, and other contributors to account for atomic phenomena, comprising the development of quantum theory from its start at the very end of the 19th century until the beginning of the 20th century. This book begins by discussing Planck's discovery of his radiation law, followed by Einstein's introduction to quanta. Next is a description of the Rutherford model of the atom and Bohr's postulates, which are confirmed by the Franck-Hertz experiment. This selection concludes with a description of how Bohr's theory could explain the main features of the atomic spectra. A brief summary of other important developments in the period are also elaborated. This publication is beneficial to students and researchers conducting work on the history of quantum mechanics from the 1900s to the development of wave mechanics.
An Introduction to the Boltzmann Equation and Transport Processes in Gases
Author: Gilberto M. Kremer
Publisher: Springer Science & Business Media
Published: 2010-08-18
Total Pages: 313
ISBN-13: 3642116965
DOWNLOAD EBOOKThis book covers classical kinetic theory of gases, presenting basic principles in a self-contained framework and from a more rigorous approach based on the Boltzmann equation. Uses methods in kinetic theory for determining the transport coefficients of gases.
Entropy Methods for Diffusive Partial Differential Equations
Author: Ansgar Jüngel
Publisher: Springer
Published: 2016-06-17
Total Pages: 146
ISBN-13: 3319342193
DOWNLOAD EBOOKThis book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of weak solutions, and the analysis of discrete and geometric structures of the PDEs. The purpose of the book is to provide readers an introduction to selected entropy methods that can be found in the research literature. In order to highlight the core concepts, the results are not stated in the widest generality and most of the arguments are only formal (in the sense that the functional setting is not specified or sufficient regularity is supposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars.
The Relativistic Boltzmann Equation: Theory and Applications
Author: Carlo Cercignani
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 391
ISBN-13: 3034881657
DOWNLOAD EBOOKThe aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.
Modeling and Computational Methods for Kinetic Equations
Author: Pierre Degond
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 360
ISBN-13: 0817682007
DOWNLOAD EBOOKIn 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.
From Particle Systems to Partial Differential Equations
Author: Eric Carlen
Publisher: Springer Nature
Published:
Total Pages: 400
ISBN-13: 3031651952
DOWNLOAD EBOOK