(SEMINAR) Some remarks on the long-time dynamics of 2D Euler.

Abstract: We describe some known results and open questions regarding properties of steady solutions of the two-dimensional incompressible Euler equations, as well as properties of nearby trajectories. Specifically, we focus on whether steady states can be isolated, whether, for solutions starting nearby steady states, recurrence can occur or whether singularities must form at long times, and finally some results on the infinite-time limit near and far from equilibrium.

analysis of PDEs

Audience: researchers in the topic

Open PDE and analysis seminar and lectures