One of the Millennium Prize problems asks about the existence and smoothness of solutions to these equations. For 10 points each:
[10m] Name this set of partial differential equations that govern the flow of viscous fluids.
ANSWER: Navier-Stokes equations
[10e] The Reynolds-averaged Navier-Stokes equations are often used to describe this kind of chaotic flow, which occurs at high Reynolds numbers. This kind of flow is contrasted with laminar flow.
ANSWER: turbulent flow [accept word forms like turbulence]
[10h] The Navier-Stokes equations have exact solutions around these points in a fluid flow, near which the velocity field is zero.
ANSWER: stagnation point
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