Kinetic Theory of Gases in Shear Flows: Nonlinear Transport

List of Figures. List of Tables. Preface. Acknowledgements. Introduction. Introduction Author. 1: Kinetic Theory of Dilute Gases. 1. Introduction. 2. Derivation of the Boltzmann equation. 3. Chapman-Enskog expansion. 4. The Boltzmann equation for gas mixtures. 5. Kinetic models. 2: Uniform Shear Flow in a Simple Gas. 1. Introduction. 2. The Boltzmann equation for uniform shear flow. 3. Moment equations for a gas of Maxwell molecules. 4. Third- and fourth-degree velocity movements. 5. Singular behavior of the velocity moments. 6. Perturbation expansion of the distribution function. 3: Kinetic Model for Uniform Shear Flow.1. Introduction. 2. The BKG equation for uniform shear flow. 3. Power-law repulsive potentials. Hard spheres. 4. The thermostatted state. 5. Small perturbations from the thermostatted uniform shear flow. 6. Heat transport under uniform shear flow. 7. Stability analysis of the thermostatted uniform shear flow. 5: Uniform Shear Flow in a Binary Mixture. 6: Planar Couette Flow in a Simple Gas. 7: Planar Couette Flow in a Binary Mixture. Appendix A: Collisional moments for Maxwell molecules.