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The Mathematical Theory of Dilute Gases

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Cover of 'The Mathematical Theory of Dilute Gases'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Historical Introduction
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    Chapter 3 Informal Derivation of the Boltzmann Equation
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    Chapter 4 Elementary Properties of the Solutions
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    Chapter 5 Rigorous Validity of the Boltzmann Equation
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    Chapter 6 Existence and Uniqueness Results
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    Chapter 7 The Initial Value Problem for the Homogeneous Boltzmann Equation
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    Chapter 8 Perturbations of Equilibria and Space Homogeneous Solutions
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    Chapter 9 Boundary Conditions
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    Chapter 10 Existence Results for Initial-Boundary and Boundary Value Problems
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    Chapter 11 Particle Simulation of the Boltzmann Equation
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    Chapter 12 Hydrodynamical Limits
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    Chapter 13 Open Problems and New Directions
Attention for Chapter 6: Existence and Uniqueness Results
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