Explore how kinetic models describe sound propagation across wave numbers and connect to hydrodynamics.
Sound Propagation According to Kinetic Models examines how a range of kinetic equations can describe sound in gases beyond traditional hydrodynamics. The work compares isothermal and isosteric formulations, introduces single and three-relaxation models, and discusses how these models relate to Euler, Navier-Stokes, Burnett, and moments theories. It emphasizes the limits of dispersion relations and the role of initial-value problems without boundaries.
- Learn how different kinetic equations reproduce familiar macroscopic theories and where they diverge.
- See how dispersion relations are used to understand phase speed and attenuation of sound waves.
- Understand the distinction between isothermal, isosteric, and single versus three relaxation models.
- Explore the idea that, at long times, solutions behave like hydrodynamics, even within kinetic models.
Ideal for readers who want a clear, math-informed view of how kinetic theory explains sound propagation and its connection to classical fluid dynamics.
James Thurber was born in Columbus, Ohio, in 1894. Famous for his humorous writings and illustrations, he was a staff member of The New Yorker for more than thirty years. He died in 1961.