|
gptkbp:instanceOf
|
gptkb:partial_differential_equations
|
|
gptkbp:appliesTo
|
gases
liquids
|
|
gptkbp:assumes
|
gptkb:continuum_hypothesis
|
|
gptkbp:category
|
gptkb:partial_differential_equations
applied mathematics
fluid mechanics
mathematical physics
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
|
gptkb:19th_century
|
|
gptkbp:governs
|
conservation of momentum
conservation of mass
|
|
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
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Navier-Stokes Equations
|