Statements (42)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:appliesTo |
gases
liquids |
| gptkbp:assumes |
gptkb:continuum_hypothesis
|
| gptkbp:category |
applied mathematics
fluid mechanics mathematical physics partial differential equations engineering mathematics |
| gptkbp:describes |
motion of viscous fluid substances
|
| gptkbp:dimensions |
3D
2D |
| gptkbp:expressedIn |
vector equations
component equations |
| gptkbp:field |
fluid dynamics
|
| gptkbp:formedBy |
19th century
|
| gptkbp:governs |
conservation of momentum
conservation of mass |
| https://www.w3.org/2000/01/rdf-schema#label |
Navier-Stokes Equations
|
| gptkbp:includes |
external force term
viscous term pressure term |
| gptkbp:millenniumPrizeProblem |
gptkb:Clay_Mathematics_Institute
|
| gptkbp:namedAfter |
gptkb:George_Gabriel_Stokes
gptkb:Claude-Louis_Navier |
| gptkbp:openProblem |
existence and smoothness in 3D
|
| gptkbp:relatedTo |
gptkb:Euler_equations
gptkb:Reynolds_number turbulence |
| gptkbp:solutionMethods |
computational fluid dynamics
analytical methods numerical methods |
| gptkbp:usedFor |
modeling blood flow
modeling airflow over wings modeling ocean currents modeling weather |
| gptkbp:usedIn |
engineering
meteorology oceanography aerodynamics |
| gptkbp:bfsParent |
gptkb:Waves_in_Fluids
|
| gptkbp:bfsLayer |
8
|