| Preface | p. xi |
| Introduction | p. xiii |
| Boltzmann Equation and Gas-Surface Interaction | p. 1 |
| Introduction | p. 1 |
| The Boltzmann Equation | p. 2 |
| Molecules Different from Hard Spheres | p. 9 |
| Collision Invariants | p. 11 |
| The Boltzmann Inequality and the Maxwell Distributions | p. 15 |
| The Macroscopic Balance Equations | p. 16 |
| The H-Theorem | p. 21 |
| Equilibrium States and Maxwellian Distributions | p. 24 |
| Model Equations | p. 26 |
| The Linearized Collision Operator | p. 29 |
| Boundary Conditions | p. 30 |
| References | p. 38 |
| Problems for a Gas in a Slab: General Aspects and Preliminary Example | p. 40 |
| Introduction | p. 40 |
| Couette Flow for Bounce-Back Boundary Conditions | p. 43 |
| Couette Flow at Small Mean Free Paths | p. 50 |
| Couette Flow at Large Mean Free Paths | p. 58 |
| Rarefaction Regimes | p. 64 |
| Moment Methods for Plane Couette Flow | p. 67 |
| Perturbations of Equilibria | p. 75 |
| References | p. 80 |
| Problems for a Gas in a Slab or a Half-Space: Discussion of Some Solutions | p. 82 |
| Use of Models | p. 82 |
| Transformation of Models into Pure Integral Equations | p. 85 |
| Variational Methods | p. 87 |
| Poiseuille Flow | p. 98 |
| Half-Space Problems | p. 103 |
| Numerical Methods | p. 113 |
| The Direct Simulation Monte Carlo Method | p. 117 |
| A Test Case: Couette Flow with Reverse Reflection | p. 119 |
| Accurate Numerical Solutions of the Linearized Boltzmann Equation | p. 122 |
| References | p. 124 |
| Propagation Phenomena and Shock Waves in Rarefied Gases | p. 129 |
| Introduction | p. 129 |
| Propagation of Discontinuities | p. 130 |
| Shear, Thermal, and Sound Waves | p. 135 |
| Shock Waves | p. 141 |
| Monte Carlo Simulation and the Problem of Shock Wave Structure | p. 152 |
| Concluding Remarks | p. 156 |
| References | p. 157 |
| Perturbation Methods in More than One Dimension | p. 162 |
| Introduction | p. 162 |
| Linearized Steady Problems | p. 162 |
| Linearized Solutions of Internal Problems | p. 168 |
| Linearized Solutions of External Problems | p. 170 |
| The Stokes Paradox in Kinetic Theory | p. 173 |
| The Continuum Limit | p. 180 |
| Free Molecular Flows | p. 189 |
| Nearly Free Molecular Flows | p. 192 |
| Expansion of a Gas into a Vacuum | p. 194 |
| Concluding Remarks | p. 199 |
| References | p. 200 |
| Polyatomic Gases, Mixtures, Chemistry, and Radiation | p. 204 |
| Introduction | p. 204 |
| Mixtures | p. 205 |
| Polyatomic Gases | p. 209 |
| The H-Theorem for Classical Polyatomic Molecules | p. 216 |
| Chemical Reactions | p. 220 |
| Ionization and Thermal Radiation | p. 225 |
| Concluding Remarks | p. 226 |
| References | p. 227 |
| Solving the Boltzmann Equation by Numerical Techniques | p. 230 |
| Introduction | p. 230 |
| The DSMC Method | p. 231 |
| Applications of the DSMC Method to Rarefied Flows | p. 234 |
| Vortices and Turbulence in a Rarefied Gas | p. 241 |
| Qualitative Differences between the Navier-Stokes and the Boltzmann Models | p. 252 |
| Discrete Velocity Models | p. 256 |
| Concluding Remarks | p. 263 |
| References | p. 266 |
| Evaporation and Condensation Phenomena | p. 273 |
| Introduction | p. 273 |
| The Knudsen Layer near an Evaporating Surface | p. 277 |
| The Knudsen Layer near a Condensing Surface | p. 285 |
| Influence of the Evaporation-Condensation Coefficient | p. 290 |
| Moderate Rates of Evaporation and Condensation | p. 293 |
| Effects due to the Presence of a Noncondensable Gas and to the Internal Degrees of Freedom | p. 299 |
| Evaporation from a Finite Area | p. 304 |
| Concluding Remarks | p. 306 |
| References | p. 307 |
| Index | p. 313 |
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