Synopsis
Explore the mathematics behind how gases behave when the Boltzmann equation governs the chase from molecules to fluids. This authoritative work surveys the asymptotic theory of the Boltzmann equation, including Hilbert and Chapman–Enskog expansions, and explains how these methods connect to fluid dynamics like Euler and Navier–Stokes equations. It also discusses the limits of these expansions, initial transients, and how boundary and shock layers affect the transition from kinetic to continuum descriptions.
The book presents a careful look at when kinetic descriptions give way to fluid models, and what that means for predicting gas behavior across a range of mean free paths. It examines how exact solutions relate to approximations, how boundary conditions influence outcomes, and how concepts like shock slip and boundary layers arise in practice. Throughout, the focus remains on clear, rigorous reasoning grounded in the Boltzmann framework.
- How the Hilbert and Chapman–Enskog expansions are formed and where they apply
- Connections between kinetic theory and fluid dynamics (Euler and Navier–Stokes)
- The roles of initial transients, boundary layers, and shock layers in asymptotic solutions
Ideal for readers of advanced kinetic theory and rarefied-gas dynamics who want a rigorous, approachable guide to the theory behind gas behavior across different regimes.
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Theory of the Boltzmann Equation (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book delves into the complex world of the Boltzmann equation, a fundamental tool in the study of gas dynamics. The author takes a deep dive into the history of the equation, exploring various methods used to analyze its behavior, from the traditional approaches of Hilbert and Chapman-Enskog to more recent techniques like integral iterations and model equations. The book examines the strengths and limitations of these methods, highlighting the nonuniform behavior and continuous spectrum which are essential to understanding the equation's full complexity. Throughout the book, the author emphasizes the importance of a precise, mathematically rigorous approach to solving the Boltzmann equation, arguing that this is essential to derive accurate results and avoid the pitfalls of ad hoc approximations. This book offers a valuable and accessible guide to this complex subject, providing insights into the mathematical intricacies of the Boltzmann equation and its significance for understanding the behavior of gases. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330145470_0
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Theory of the Boltzmann Equation Classic Reprint
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330145470
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Theory of the Boltzmann Equation Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330145470
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Theory of the Boltzmann Equation (Classic Reprint)
impression à la demandeVendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. 36 pages. 9.06x5.59x0.24 inches. This item is printed on demand. N° de réf. du vendeur zk133014547X
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THEORY OF THE BOLTZMANN EQUATI
Vendeur : moluna, Greven, Allemagne
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Etat : New. KlappentextrnrnExcerpt from Theory of the Boltzmann EquationH. M. Mott-smith, A New Approach in the Kinetic Theory of Gases, mit, Lincoln Laboratory (1954)About the PublisherForgotten Books publishes hundreds of thousands. N° de réf. du vendeur 2147732816
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