Yoshio Sone Knihy

The monograph explores the relationship between kinetic theory and fluid dynamics, focusing on the behavior of gas in a steady state within a general domain. It examines the asymptotic behavior for small Knudsen numbers and presents fluid-dynamic equations along with boundary conditions and Knudsen-layer corrections. The text highlights the limitations of classical gas dynamics in describing continuum behavior and reveals how asymptotic theory enables the analysis of slightly rarefied gases, uncovering unique phenomena related to temperature fields and gas flow.

This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. The book, unique in the literature, presents working knowledge, theory, techniques, and typical phenomena in rarefied gases for theoretical development and application. Basic theory is developed in a systematic way and presented in a form easily applied for practical use. In this work, the ghost effect and non-Navier–Stokes effects are demonstrated for typical examples—Bénard and Taylor–Couette problems—in the context of a new framework. A new type of ghost effect is also discussed.