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The Mathematical Theory of Dilute Gases (Applied Mathematical Sciences) | 
enlarge | Authors: Carlo Cercignani, Reinhard Illner, Mario Pulvirenti Publisher: Springer Category: Book
List Price: $129.00 Buy New: $69.39 You Save: $59.61 (46%)
New (14) from $69.39
Avg. Customer Rating: 1 reviews Sales Rank: 1938521
Media: Hardcover Edition: 1 Number Of Items: 1 Pages: 364 Shipping Weight (lbs): 1.4 Dimensions (in): 9.2 x 6 x 1
ISBN: 0387942947 Dewey Decimal Number: 530.43 EAN: 9780387942940 ASIN: 0387942947
Publication Date: September 29, 1994 Availability: Usually ships in 1-2 business days Shipping: International shipping available Condition: Satisfaction Guranteed
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| Editorial Reviews:
Product Description This book is devoted to the presentation of rigorous mathematical results in the kinetic theory of a gas of hard spheres. Recent developments as well as classical results are presented in a unified way, such that the book should become the standard reference on the subject. There is no such book available at present. The reader will find a systematic treatment of the main mathematical results, a discussion of open problems, and a guide to the existing literature. There is a rigorous and comprehensive presentation of strict validation of the Boltzmann equations, global existence theory, and the fluid-dynamical limits. The authors also review and discuss classical derivation and properties of the Boltzmann equation, particle simulation methods, and boundary conditions.
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| Customer Reviews:
A reference text on rigorous Bolztmannia. April 5, 2000 2 out of 2 found this review helpful
Written by some of the masters of the italian school of mathematical-physics, this book is a survey of rigorous results on the Boltzmann equation and various topics surrounding it. Trying to organize such an amount of material in a 350 pgs. book is an ambitious and breathtaking task. So the book is not an easy and systematic treatise, but a compilation of diverse results in the area, which is very needed, as they are scattered in a vast technical literature. Particularly welcome is a complete exposition of Landford's result on the validity of the Boltzmann equation, a (partial) realization of Boltzmann's dream and a real triumph of mathematical-physics. On the other hand, the chapter on hydrodynamic limits is extremely concise.In any case, this book should be a standard reference in the field. Indicated to mathematical-physicists and mathematicians alike.
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