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A regime of nonlinear viscous flow characterized by random, rotational motion with a wide range of length scales. Its study is critical to many fields, such as aerospace, atmospheric science, chemical engineering, and astrophysics.

16 votes
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Occurrence of turbulence in fluid dynamics from the equations of motion?

This argument must break down for those special cases where the usual turbulence doesn't occur, like 2D fluids. … But several people noted the enstrophy cascade would wreck the traditional ideas for why turbulence occurs Generic nonlinear systems The generic PDEs all have a turbulence, when they have a dissipation …
Ron Maimon's user avatar
63 votes
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Have we figured out how to analyze turbulent fluids?

This is a much more difficult, and much more important problem, because it is the problem of turbulence. … It is the most significant advance in turbulence theory since K41. …
Ron Maimon's user avatar
15 votes
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The equipartition theorem in momentum space

Nevertheless, this point of view is a useful first approximation to the turbulence problem. … The inability of fields to get to thermal equilibrium famously led to quantum mechanics, but it is also an important insight for the problem of classical turbulence. …
Ron Maimon's user avatar