We will discuss a framework for studying quasi-periodic (and almost periodic) maps and diffeomorphisms on $R^n$. As an application, we prove that the Euler equation is locally well posed in a space of quasi-periodic vector fields on $R^n$. In particular, the equation preserves the spatial quasi-periodicity of the initial data. (This is a joint work with Xu Sun.)
The talk will be via Zoom at:
https://utoronto.zoom.us/j/99576627828
Passcode: 448487