Math 237A: Mathematical Fluid Dynamics (Winter 2018)
Lectures: TuTh 2:00-3:20pm in APM 5402
Office: APM 5121
Office Hours: Tue 9:15-9:45am and 3:20-3:50pm, and Thu 3:20-3:50pm
E-mail: firstname.lastname@example.org (remove the two x)
We will primarily use pdf lecture notes, and may cover some additional topics from Mathematical theory of incompressible non-viscous fluids by
Marchioro and Pulvirenti. The lecture notes are not public but available to all registered students via email (let me know if you did not receive a copy). A free pdf copy of the book is available through UCSD library.
This course will be an introduction to the theory of incompressible fluid dynamics, concentrating on the Euler equations. We will study their basic properties and questions of local-in-time regularity as well as long time evolution of their solutions in two dimensions. Basic knowledge of PDE, equivalent to 1-2 quarters of a graduate PDE sequence, will be a sufficient prerequisite.