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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
Accepted
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 …
63
votes
Accepted
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. …
15
votes
Accepted
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. …