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Lecturer
Luigi De Rosa
Timetable and workload
Lectures: 16 hours
Course content
Two-dimensional ideal fluids are an Hamiltonian system exhibiting spectacular dynamics at infinite times. This course will start presenting the Yudovich global well-posedness theorem for the incompressible Euler equations in two dimensions. Then, the Shnirelman theory of "maximally mixed equilibria" will be discussed. Although conceptually very sophisticated, this is only a small step towards a more adequate understanding of the complex long-time dynamics: https://www.youtube.com/watch?v=-YdEYumSSJ0&t=285s&ab_channel=TheodoreDimitriosDrivas.