Physics 178 — Continuum and Fluid Mechanics
This course is an introduction to tensors, continuum mechanics and fluid dynamics. The course will begin with an introduction to tensors, their properties and analysis and their uses in describing continuous media including the ideas of stress and strain. We will then derive equations describing conservation of mass, momentum and energy in elastic media. These equations will be used to analyze linear waves in elastic media (which find application in seismology). We will specialize to the particular case of fluid mechanics, and in particular the Navier-Stokes equation. Finally we will talk about some classical fluid dynamical applications such as waves on the surface of a fluid. Rather than presenting all the material in lectures, the course notes have been published in the form of a book for your reference.