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- About this book
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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. - Reviews
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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)
- Table of contents (6 chapters)
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Introduction
Pages 1-11
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The Boltzmann equation and its formal hydrodynamic limits
Pages 1-34
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Mathematical tools for the derivation of hydrodynamic limits
Pages 1-32
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The incompressible Navier-Stokes limit
Pages 1-42
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The incompressible Euler limit
Pages 1-42
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Table of contents (6 chapters)
- Download Preface 1 PDF (83.4 KB)
- Download Sample pages 1 PDF (548 KB)
- Download Table of contents PDF (78.3 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Hydrodynamic Limits of the Boltzmann Equation
- Authors
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- Laure Saint-Raymond
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 1971
- Copyright
- 2009
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-92847-8
- DOI
- 10.1007/978-3-540-92847-8
- Softcover ISBN
- 978-3-540-92846-1
- Series ISSN
- 0075-8434
- Edition Number
- 1
- Number of Pages
- XII, 194
- Number of Illustrations
- 9 b/w illustrations
- Topics
