Molecular Gas Dynamics

• Boltzmann Equation.- Highly Rarefied Gas: Free Molecular Gas and Its Correction.- Slightly Rarefied Gas: Asymptotic Theory of the Boltzmann System for Small Knudsen Numbers.- Simple Flows.- Flows Induced by Temperature Fields.- Flows with Evaporation and Condensation.- Bifurcation in the Half-Space Problem of Evaporation and Condensation.- Ghost Effect and Bifurcation I: Bénard and Taylor-Couette Problems.- Ghost Effect and Bifurcation II: Ghost Effect of Infinitesimal Curvature and Bifurcation of the Plane Couette Flow.

From the reviews: "This is a comprehensive and self-contained text giving an overview of gas dynamics on the basis of kinetic theory in the tradition of asymptotic analysis as pursued by the author and his collaborators...[T]he treatment is lucid and self-contained, with masterfully chosen and executed expansions that do not usually find their way into textbooks...Throughout the whole book, the presentation is illustrated with numerical graphs and tables based on widely varying numerical methods chosen with regard to the respective problems. Clarifying footnotes are generously provided, useful both for the beginner and for the experienced user. An added bonus is accurate and up-to-date surveys of the mathematical status of the various problems together with an in-depth bibliography. This impressive monograph...will become a convenient and lasting reference in the area." -Transport Theory and Statistical Physics "In this book the author presents a good review of the theory and the modeling of molecular gas dynamics, together with applications, based on his work with his collaborators. This book is a good reference for researchers interested in applications to kinetic theory and fluid dynamics." -Mathematical Reviews "The monograph provides a comprehensive and self-contained overview of gas dynamics based on the kinetic theory. ... The presentation is supplemented with illustrations and tables demonstrating the numerical methods suitable for the respective problems. An up-to-date survey of the current status of research in the various areas is given together with an extensive bibliography. The book can serve as a self-study reference or as a textbook." (Jan Stebel, Applications of Mathematics, Vol. 56, 2011)