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Center for Nonlinear Studies |
Statistical mechanics has long been proposed as a method for predicting equilibrium flow states in two-dimensional turbulence. A classic example is the formation of Jupiter's red spot. However, this approach requires precise knowledge of initial conditions and can be difficult to implement. In this talk, I will describe a simpler approach by changing the problem slightly. I will present a qualitative theory we developed for describing the stability of maximum-entropy states in decaying two-dimensional turbulence. I will then show theoretical predictions and results from numerical simulations for two interesting long-lived flow states, including a simple bistable state.
Host: Kipton Barros, T-4 and CNLS