Hydrodynamic Limits of the Boltzmann Equation by Laure Saint-Raymond

Hydrodynamic Limits of the Boltzmann Equation by Laure Saint-Raymond

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.

From the reviews:

“The problems of hydrodynamic limits for the Boltzmann equation are discussing in the six chapters bookGeneral 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)

SKU	Unavailable
ISBN 13	9783540928461
ISBN 10	3540928464
Title	Hydrodynamic Limits of the Boltzmann Equation
Author	Laure Saint-Raymond
Series	Lecture Notes In Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer
Year published	2009-03-30
Number of pages	194
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.