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- Carlo Cercignani
- 1988

I. Basic Principles of The Kinetic Theory of Gases.- 1. Introduction.- 2. Probability.- 3. Phase space and Liouville's theorem.- 4. Hard spheres and rigid walls. Mean free path.- 5. Scattering of a… (More)

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… (More)

- Carlo Cercignani
- 1974

We consider some questions related to the self-similar asymptotics in the kinetic theory of both elastic and inelastic particles. In the second case we have in mind granular materials, when the model… (More)

Abstract The problem of a mathematical description of the relation between the distribution functions of impinging and emerging molecules at a solid wall is considered. Under suitable assumptions, of… (More)

Introduction. I. The BBGKY Hierarchy. II. The Initial Value Problem for the BBGKY Hierarchy of a System of a Finite Number of Particles. III. The Initial Value Problem for LINFINITY Data:… (More)

We show that there exists a wide class of distribution functions (with moments of any order as close to their equilibrium values as we like) which can provide an abnormally low rate of entropy… (More)

- Carlo Cercignani
- 1982

- Carlo Cercignani
- 1986

A survey of the state-of-the art on half-space problems in kinetic theory is given, with particular concern for existence, uniqueness and closed form representations of the solutions.

The Poiseuille flow of a rarefied gas between two parallel plates is analyzed numerically for an inverse Knudsen number ranging from 0 to 10.5. The Bhatnagar, Gross, and Krook model is used and the… (More)