Chaos in the incompressible Euler equation on manifolds of high dimension

In this talk we will show how to construct finite dimensional families of non-steady solutions to the Euler equations, existing for all time, and exhibiting all kinds of qualitative dynamics in the phase space of divergence-free vector fields, for example: strange attractors and chaos, invariant manifolds of arbitrary topology, and quasiperiodic invariant tori of any dimension.

Date

Speakers

Francisco Torres de Lizaur

Affiliation

University of Toronto