The Mathematical Theory of Dilute Gases: MATHEMATICAL THEORY OF DILUTE

Hardcover | September 29, 1994

byCarlo Cercignani, Reinhard Illner, Mario Pulvirenti

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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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From the Publisher

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 fi...

Format:HardcoverDimensions:356 pages, 9.25 × 6.1 × 0.04 inPublished:September 29, 1994Publisher:Springer New York

The following ISBNs are associated with this title:

ISBN - 10:0387942947

ISBN - 13:9780387942940

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"...this is a volume that will repay close study by those who wish to catch up with the present state of the art in the mathematical theory of dilute gases." - Journal of Fluid Mechanics