Quasi periodic motions of the generalized SQG equations

Series
CDSNS Colloquium
Time
Friday, April 22, 2022 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005; streaming via Zoom available
Speaker
Jaemin Park – University of Barcelona – jpark@ub.eduhttps://www.ub.edu/pde/jpark/
Organizer
Alex Blumenthal

Please Note: Link for streaming: https://us06web.zoom.us/j/83392531099?pwd=UHh2MDFMcGErbzFtMHBZTmNZQXM0dz09

In this talk, we study the existence of quasi periodic solutions to the generalized Surface Quasi-Geostropic (gSQG) equations. Despite its similar structure with the 2D Euler equation, the global existence/finite time singularity formation of gSQG equations have been open for a long time. Exploiting its Hamiltonian structure, we are able to construct a quasi periodic solutions with the initial date that are sufficiently close to its steady states. This is a joint work with Javier Gomez-Serrano and Alex Ionescu.