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Remarks on the long-time dynamics of 2D Euler

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TURW03 - Modelling and analysis of turbulent transport, mixing and scaling

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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