MATH 705: Mathematical Fluid Dynamics, Fall 2017


Course Details:

Time: MWF 8:50am-9:40am

Room: Van Vleck B119

Office hours: M 2pm-3pm (VV505) or by appointment

Instructor: Saverio Spagnolie

Office: Van Vleck 505

Course website:


You may be interested in visiting the following supplementary texts; the first four have been placed on reserve in the math library (Van Vleck B224):

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 with partial differential equations and basic complex variables.