The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory (Classic Reprint) - Softcover
Synopsis
Explore how kinetic theory explains sound and flow from first principles.
This rigorous study examines the initial value problem for the one‑dimensional linearized Boltzmann equation and compares a range of modeling approaches, from macroscopic fluid equations to kinetic models.
Two concise chapters frame the scope: how different approximations relate to the Boltzmann equation, and how these theories behave for smooth, boundary‑free problems. The work emphasizes staying close to the distribution function itself, not just its moments, and shows how model equations can capture key dynamics while remaining more tractable than the full Boltzmann framework.- See how hydrodynamic and nonhydrodynamic modes emerge and interact over time
- Learn how kinetic models and Grad’s moment methods differ in predicting sound propagation
- Understand how boundary layers, epochs, and dispersion relations shape wave behavior
- Compare predictions with the Boltzmann equation to identify where each approach works best
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The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory
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Paperback. Condition: New. Print on Demand. This book delves into the behavior of gases on a molecular level using the Boltzmann equation. The author meticulously crafts an analysis of sound propagation and modeling in kinetic theory. By investigating the equation's dispersion relation, the book reveals the existence of an infinite number of propagating and diffusing modes within a gas. These modes, each with their own unique decay time, paint a picture of the evolution of a gas over time. The book uncovers a fascinating interplay between hydrodynamic and non-hydrodynamic modes, highlighting the presence of extraordinary sound propagation speeds. The author's approach not only provides a deeper understanding of gas dynamics but also offers valuable insights into the limitations of macroscopic equations commonly used to describe gas behavior. 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. Seller Inventory # 9781330370292_0
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The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330370292
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The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330370292
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