- Series
- PDE Seminar
- Time
- Friday, April 29, 2016 - 2:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Adrian Tudorascu – West Virginia University
- Organizer
- Wilfrid Gangbo
SGSW is a third level specialization of Navier-Stokes (via
Boussinesq, then Semi-Geostrophic), and it accurately describes
large-scale, rotation-dominated atmospheric flow under the extra-assumption
that the horizontal velocity of the fluid is independent of the vertical
coordinate. The Cullen-Purser stability condition establishes a connection
between SGSW and Optimal Transport by imposing semi-convexity on the
pressure; this has led to results of existence of solutions in dual space
(i.e., where the problem is transformed under a non-smooth change of
variables). In this talk I will present recent results on existence and weak
stability of solutions in physical space (i.e., in the original variables)
for general initial data, the very first of their kind. This is based on
joint work with M. Feldman (UW-Madison).