2024 - Enhanced Research Experience for Undergraduates

Sponsored by the Summer Math Foundation,
the Stony Brook Department of Mathematics,
and Undergraduate Research and Creative Activities (URECA)

The topic for 2024 will be Elementary Fluid Mechanics. The course will cover the elementary aspects of fluid motion, including their derivation of the Euler and Navier-Stokes equations as continuum mechanical system, their basic solution theory, and dynamical & geometric aspects of the resultant motion. This course will prepare for beginning research in PDE and fluid mechanics. Future research topics can range from understanding the structural properties of fluid equilibria, long-time behavior of slightly viscous flow, stabilization of fluid flow by addition of magnetic fields/polymers and analytical/numerical investigations of instability and singularity formation in model problems.

This course satisfies the SBC SPK requirement; as such, students are required to give presentations. MAT401 and MAT402 may be repeated, since the topic changes every time.
All students wishing to receive departmental Honors in Mathematics must take MAT401 or MAT402 at least once (among other requirements). Students hoping to participate in the 2024 SummerMath REU must take MAT402 in Spring 24.

Time: MW 2:30-3:50pm
Instructor: Prof Theodore Drivas
Prerequisites: Analysis (MAT 319 or MAT 320), Multivariable calculus (MAT203 or MAT307 or AMS361), and basic differential equations (MAT308 or MAT303 or AMS361).

To for permission to enroll, please see Janine Grega in the undergraduate mathematics office, or email upd@math.stonybrook.edu including your full name and Stony Brook ID number. Assuming you have satisfied the prerequisites, you will then be given permission to enroll in MAT402 on Solar.