On the evolution of sharp fronts for the quasi-geostrophic equation.

Seminar: 
Analysis
Event time: 
Wednesday, April 6, 2005 - 10:45am to 11:45am
Location: 
215 LOM
Speaker: 
Jose Rodrigo
Speaker affiliation: 
Yale University
Event description: 

The surface quasi-geostrophic (QG) equation is a 2D equation that is known to have very strong analogies with 3D Euler, while being a simpler system. I will briefly describe the QG system and these analogies and describe the problem of the evolution of sharp fronts (the analogue for the 3D Euler is the evolution of a vortex line) I will present a rigourous derivation of an evolution of equation for a front and show local well-posedness of the equation using a Nash-Moser argument.