## Advances in Kinetic Theory and Continuum Mechanics: Proceedings of a Symposium Held in Honor of Professor Henri Cabannes at the University Pierre Et Marie Curie, Paris, France, on 6 July 1990Henri Cabannes, Renee Gatignol, Soubbaramayer This volume contains the proceedings of the symposium held on Friday 6 July 1990 at the University Pierre et Marie Curie (Paris VI), France, in honor of Professor Henri Cabannes on the occasion of his retirement. There were about one hundred participants from nine countries: Canada, France, Germany, Italy, Japan, Norway, Portugal, the Netherlands, and the USA. Many of his past students or his colleagues were among the participants. The twenty-six papers in this volume are written versions submitted by the authors and cover almost all the fields in which Professor Cabannes has actively worked for more than forty-five years. The papers are presented in four chapters: classical kinetic theory and fluid dynamics, discrete kinetic theory, applied fluid mechanics, and continuum mechanics. The editors would like to take this opportunity to thank the generous spon sors of the symposium: the University Pierre et Marie Curie, Commissariat a l'Energie Atomique (especially Academician R. Dautray and Dr. N. Camarcat) and Direction des Recherches et Etudes Techniques (especially Professor P. Lallemand). Many thanks are also due to all the participants for making the symposium a success. Finally, we thank Professor W. Beiglbock and his team at Springer-Verlag for producing this volume. |

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### Contents

Trend to Equilibrium in a Gas According to the Boltzmann Equation | 3 |

Asymptotic Theory of a Steady Flow of a Rarefied Gas Past Bodies | 19 |

Computation of Transitional Rarefied Flow | 33 |

Copyright | |

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Acad approximation asymptotic binary collisions Boltzmann equation boundary condition Cabannes Cauchy Cauchy problem coefficients collision operator component computation condensed phase conservation laws constant convergence cruising Mach number Darcy's law defined delta wing denote derived dimension discrete kinetic theory discrete velocity models distribution domain données energy Enskog equation entropy equilibrium Euler equation expansion finite flow fluid dynamic function Galilean invariance Gas Dynamics gases Gatignol given Global existence H-theorem Hartmann number hydrodynamic inequality initial interaction kinetic equations kinetic theory Knudsen layer Knudsen number Lattice Gas Lemma linear mathematical matrix Maxwellian method molecules momentum NASTASE Navier-Stokes equations non-equilibrium nonlinear obstacle obtained optimum-optimorum parameters particles perturbation Phys porous medium position pressure problem propagation rarefied gas satisfy simulation singularities solution Sone space vehicle speed of sound string surface temperature tensor Theorem tion values variational vector vibrating viscosity zero