Mathematical foundations of stratified and anisotropic fluid flows

Slim Ibrahim (University of Victoria)

Jan 5, 2027 — Apr 27, 2027

About the course

This course introduces the mathematical analysis of anisotropic fluid flows, focusing on the Boussinesq system and its hydrostatic limit leading to the primitive equations. Emphasis is placed on the role of scaling, geometry, and stratification in deriving reduced models, as well as on well-posedness, instability mechanisms, and singularity formation. Connections with the Euler and Navier–Stokes equations are highlighted, along with recent advances and open problems in inviscid regimes.

Registration

This course is available for registration under the Western Dean's Agreement. To register, you must obtain the approval of the course instructor and you must complete the Western Dean's agreement form , using the details below. The completed form should be signed by your home institution department and school of graduate studies, then returned to the host institution of the course.

Enrollment Details

Course Name: Mathematical foundations of stratified and anisotropic fluid flows
Date: Jan 5, 2027 — Apr 27, 2027
Course Number: MATH550
Section Number
Section Code

Instructor(s)

Slim Ibrahim
ibrahims@uvic.ca
University of Victoria

For help with completing the Western Dean’s agreement form, please contact the graduate student program coordinator at your institution. For more information about the agreement, please see the Western Dean's Agreement website

Other Course Details

Availability

This course is available to students at PIMS member universities.

Remote Access

The instructor will deliver the lectures from a fully equipped classroom (e.g., Hickman Building 110) that provides cameras, microphones, and integrated audiovisual support. The cameras will be directed toward the blackboards to ensure clear visibility of the material, while remote participants will be displayed on a screen in the room. This setup allows remote students to follow the lectures in real time and to actively participate by asking questions and interacting during the session.