Global solutions for the generalized SQG equation

PDE Seminar
Tuesday, February 13, 2018 - 15:00
1 hour (actually 50 minutes)
Skiles 006
Princeton University
The SQG equation models the formation of fronts of hot and cold air. In a different direction this system was proposed as a 2D model for the 3D incompressible Euler equations. At the linear level, the equations are dispersive. As of today, it is not known if this equation can produce singularities. In this talk I will discuss some recent work on the global solutions of the SQG equation and related models for small data. Joint work with Diego Cordoba and Alex Ionescu.