A Millennium Prize problem asks whether there always exists a smooth solution to these equations in 3D. For 10 points each:
[10e] Name this doubly eponymous set of partial differential equations whose description of the motion of viscous fluids is fundamental to fluid mechanics.
ANSWER: Navier–Stokes equations
[10h] This condition is modeled as a Dirichlet (“DIH-rish-lay”) boundary condition in the Navier–Stokes equations. Under this condition, a fluid has zero relative velocity along its boundary.
ANSWER: no-slip condition [accept answers such as no-slipping]
[10m] This phenomenon can be accurately described at the boundary of a fluid flow by the k-omega model. This phenomenon arises in a fluid flow when inertial forces dominate viscous forces.
ANSWER: turbulence [or turbulent flow; accept k-omega turbulence model]
<Benjamin Chapman, Science - Physics> ~20859~ <Editor: David Bass>