Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1971)
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About this book
The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics.
Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.
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Table of contents (6 chapters)
Reviews
From the reviews:
“The problems of hydrodynamic limits for the Boltzmann equation are discussing in the six chapters book. General results are based on the Boltzmann equation and are considering the transition from kinetic theory to hydrodynamic equations. … This book may be useful for advanced graduate students and for scientists who are interesting on mathematical problems of the statistical mechanics and rarefied gases.” (Oleg A. Sinkevich, Zentralblatt MATH, Vol. 1171, 2009)
“The main topic of the book is the presentation of mathematical results for the hydrodynamic limits of the Boltzmann equation in the kinetic theory of gases. … The book concludes with appendix containing theorems and concepts which aid in the reading of the book. … The book is written in a clear comprehensive style with detailed proofs … . This book is accessible to researchers, lecturers and graduate students in the fields of applied mathematics, mathematical physics and fluid mechanics.” (Andrzej Icha, Pure and Applied Geophysics, Vol. 168, 2011)
Bibliographic Information
Book Title: Hydrodynamic Limits of the Boltzmann Equation
Authors: Laure Saint-Raymond
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-92847-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Softcover ISBN: 978-3-540-92846-1Published: 30 March 2009
eBook ISBN: 978-3-540-92847-8Published: 20 April 2009
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 194
Number of Illustrations: 9 b/w illustrations
Topics: Classical and Continuum Physics, Partial Differential Equations, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences