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## The Boltzmann equation and its applications

- C. Cercignani
- Physics
- 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… Expand

## The mathematical theory of dilute gases

- C. Cercignani, R. Illner, M. Pulvirenti
- Physics
- 1994

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… Expand

## The Relativistic Boltzmann Equation: Theory and Applications

- C. Cercignani, G. M. Kremer
- Physics
- 30 October 2012

1 Special Relativity.- 1.1 Introduction.- 1.2 Lorentz transformations.- 1.3 Tensors in Minkowski spaces.- 1.4 Relativistic mechanics.- 1.4.1 Four-velocity.- 1.4.2 Minkowski force.- 1.4.3 Elastic… Expand

## Rarefied Gas Dynamics: From Basic Concepts to Actual Calculations

- C. Cercignani
- Physics
- 28 February 2000

1. Boltzmann equation and gas-surface interaction 2. Problems for a gas in a slab: general aspects and preliminary example 3. Problems for a gas in a slab or a half-space: discussion of some… Expand

## Mathematical Methods in Kinetic Theory

- C. Cercignani, R. Dorfman
- Mathematics
- 1 October 1970

Professor, The Rockefeller University, New York, N. Y. the linearized Boltzmann collision operator, and the application of this operator, or simple model versions of it, to boundary problems such as… Expand

## Kinetic models for gas-surface interactions

- C. Cercignani, M. Lampis
- Mathematics
- 1971

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… Expand

## Many-Particle Dynamics And Kinetic Equations

- C. Cercignani, Viktor Ivanovich Gerasimenko, D. I. Petrina
- Mathematics
- 1997

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:… Expand

## Relativistic Boltzmann Equation

- C. Cercignani, G. M. Kremer
- Physics, Biology
- 2002

The purpose of this chapter is to introduce the basic concepts of relativistic kinetic theory and the relativistic Boltzmann equation, which rules the time evolution of the distribution function.

## Self-Similar Asymptotics for the Boltzmann Equation with Inelastic and Elastic Interactions

- A. Bobylev, C. Cercignani
- Mathematics
- 2003

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… Expand

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