The Relativistic Boltzmann Equation: Theory and Applications Progress in Mathematical Physics [Cercignani, Carlo, Kremer, Gilberto M.] on. FREE shipping on qualifying offers. The Relativistic Boltzmann Equation: Theory and Applications Progress in Mathematical Physics. The 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. The 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.

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. Carlo Cercignani, Gilberto Medeiros Kremer auth. The 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. In this work, two systems are analyzed within the framework of the relativistic Boltzmann equation. One of them refers to a description of binary mixtures of electrons and protons and of electrons.

Part of the Progress in Mathematical Physics book series PMP, volume 22. Kremer G.M. 2002 Relativistic Boltzmann Equation. In: The Relativistic Boltzmann Equation: Theory and Applications. Progress in Mathematical Physics, vol 22. Birkhäuser, Basel. equation and the relativistic Euler equation in the limit of small ε. The analysis in this paper is an extension to the relativistic case of the work in [R. E. Caﬂisch, Comm. Pure Appl. Math. 33. Carlo Cercignani and Gilberto Medeiros Kremer, "The Relativistic Boltzmann Equation: Theory and Applications,", Progress in Mathematical Physics, 22 2002. Google Scholar [14] Carlo Cercignani and Armando Majorana, Propagation of infinitesimal disturbances in a gas according to a relativistic kinetic model, Meccanica, 19 1984, 175. In a non-relativistic theory the most widely known model of the Boltzmann equation is the so-called BGK model which was formulated independently by Bhatnagar, Gross and Krook and Welander. Other model equations for non-relativistic gases were proposed later and for more details we refer to the book by Cercignani [ 7 ].

Apr 01, 2020 · The Boltzmann equation describes the dynamics of a relativistic gas, particles which interact through binary collisions. The main interest of the Boltzmann equation is the description of the one-particle distribution function associated to gas. This function is physically interpreted as probability of the density of particles in a given volume.

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