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The mathematical theory of dilute gases

Author: Carlo Cercignani; Reinhard Illner; M Pulvirenti
Publisher: New York : Springer-Verlag, [1994] ©1994
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 106.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Cercignani, Carlo.
Mathematical theory of dilute gases
(DLC) 94010086
(OCoLC)30071367
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Carlo Cercignani; Reinhard Illner; M Pulvirenti
ISBN: 9781441985248 1441985247 9781461264255 1461264251
OCLC Number: 883392173
Description: 1 online resource (vii, 347 pages) : illustrations.
Contents: Historical introduction --
Informal derivation of the Boltzmann equation --
Elementary properties of the solutions --
Rigorous validity of the Boltzmann equation --
Existence and uniqueness results --
The initial value problem for the homogeneous Boltzmann equation --
Perturbations of equilibria and space homogeneous solutions --
Boundary conditions --
Existence results for initial-boundary and boundary value problems --
Particle simulation of the Boltzmann equation --
Hydrodynamical limits --
Open problems and new directions.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 106.
Responsibility: Carlo Cercignani, Reinhard Illner, Mario Pulvirenti.
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Abstract:

This advanced text is devoted to the presentation of rigorous mathematical results in the kinetic theory of a gas of hard spheres. It presents systematic coverage of the main mathematical results, a  Read more...

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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

 
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