Propagation of Gaussianity and Application to the Incompressible Euler Dynamics

This lecture explores the propagation of Gaussianity under Hamiltonian equation flows, explaining why solutions with Gaussian initial data continue to satisfy the Wick formula in large box regimes. Discover the connection between this process and chaos propagation in weak turbulence, with special emphasis on incompressible Euler dynamics to demonstrate its independence from dispersion. Learn about the two-part result: a general component at the quasisolution level and a specific application to Euler dynamics. The presentation also covers potential improvements when applying these concepts to dispersive equations. Presented by Anne-Sophie de Suzzoni on December 5, 2024, this 45-minute talk from the Simons Foundation provides valuable insights into mathematical physics and fluid dynamics.