Question
Determining whether these equations have smooth solutions is one of the seven Millennium Prize problems. For 10 points each:
[10e] Identify this set of unsolved PDEs that model the behavior of viscous fluids, named after a Frenchman and an Irishman.
ANSWER: Navier-Stokes [nav-ee-AY stokes] equations
[10m] The Navier-Stokes equations can be used with the mass continuity equation to model the flow of a pipe. For an incompressible flow, the mass continuity equation states this operation applied to velocity equals zero.
ANSWER: divergence [or div or del-dot or nabla-dot; reject “del” alone]
[10h] Another way of modeling fluid flow in a pipe involves using this boundary condition, which states that the fluid velocity at the interface is zero for a stationary pipe.
ANSWER: no-slip condition
<Science - Physics>
Summary
| 2024 Booster Shot (Columbia) | 02/23/2024 | Y | 3 | 20.00 | 100% | 67% | 33% |
| 2024 Booster Shot (Great Lakes) | 03/09/2024 | Y | 3 | 20.00 | 100% | 33% | 67% |
| 2024 Booster Shot (Vanderbilt) | 03/02/2024 | Y | 2 | 15.00 | 100% | 50% | 0% |
| 2024 Booster Shot (Vanderbilt) | 03/02/2024 | Y | 1 | 0.00 | 0% | 0% | 0% |
| 2024 Booster Shot (WUSTL) | 03/09/2024 | Y | 3 | 13.33 | 100% | 33% | 0% |
| 2024 Booster Shot (Waterloo) | 02/23/2024 | Y | 3 | 16.67 | 100% | 67% | 0% |
Data
| Truman State | SIUE | 10 | 10 | 0 | 20 |
| Squidward Community College | WUSTL C | 10 | 0 | 0 | 10 |
| WUSTL A | WUSTL J | 10 | 0 | 0 | 10 |