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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the modeling of fluid instabilities with linear perturbation theory, focusing on the Rayleigh-Taylor instability at the interface of two fluids. It delves into chaotic motion and the closure problem of turbulence, exploring the origin of unpredictability through the Navier-Stokes equations. The lecture discusses the statistical approach to turbulence, the two-point correlation function, and the special case of homogeneous, isotropic, incompressible turbulence. It also introduces the concept of mean-field theory and turbulent viscosity, emphasizing its importance in stellar structure models and the interstellar medium driven by supernova explosions and galactic shear.