Course Details:
Time: TR 9:30am-10:45am
Room: Van Vleck B115
Instructor: Saverio Spagnolie
Office: Van Vleck 505
Textbooks:
For an amuse-bouche, suggested reading before the course begins is Lauga, Fluid Mechanics: A Very Short Introduction.
Many of the topics covered in the course are given an accessible introductory treatment by Acheson, Elementary Fluid Dynamics (Oxford Univ Press).
For each topic, more in-depth treatments can be found in one of:
Course Content:
This course will explore the dynamics of fluids from a rigorous mathematical perspective. Topics will include the kinematics of fluids, the Navier-Stokes equations, potential flows, vorticity dynamics, viscosity-dominated (Stokes) flows, lubrication theory, classical airfoil theory, biolocomotion, boundary layers, and water waves. Discussions will take us from classical, centuries-old techniques to open questions of active research and just recently observed phenomena. Incoming students should have experience solving partial differential equations and basic complex variables.
Miscellaneous:
