The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory (Classic Reprint) - Hardcover

Lawrence Sirovich

 
9780267800636: The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory (Classic Reprint)

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
Ideal for readers of advanced kinetic theory and applied gas dynamics, this edition helps bridge foundational theory with practical modeling insights.

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