Incompressible Navier-Stokes Equations
August-October 2021
August-October 2021
The Mathematical Analysis Group within The University of Queensland has chosen to cover topics in the incompressible Navier-Stokes equations for their weekly seminar series in Semester 2, 2021. These seminars occur at 11am on Mondays, Brisbane time (AEST).
Most of the material has come from Tao's notes on the subject, an exposition on Leray's original paper by Ozanski and Pooley, as well as a graduate studies book by Tsai. Some of the associated resources produced in the course of this seminar series will also be uploaded here.
August 2, Physical derivation and basic properties
Lecture (by Timothy Buttsworth, UQ)
August 9, The heat equation
Lecture (by Timothy Buttsworth, UQ)
August 16, The Leray projection
Lecture (by Jack Thompson, UWA)
August 23, Stokes flow
Lecture (by Finn Thompson, UQ)
August 30, Banach spaces and fixed point theory
Lecture (by Liam Hodgkinson, UC Berkely)
September 13, Mild solutions and short-time existence
Lecture (by James Stanfield, UQ)
September 20, Maximal existence and blow-up criteria
Lecture (by Zhewen Feng, UQ)
October 11, Weak Solutions
Lecture (by Adam Thompson, UQ)
October 18, Vorticity
Lecture (byRhuaidi Burke, UQ)