incompressible Navier–Stokes equations in 3D
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:describes |
motion of incompressible fluids
|
| gptkbp:dimensions |
3
|
| gptkbp:governs |
velocity field
pressure field |
| https://www.w3.org/2000/01/rdf-schema#label |
incompressible Navier–Stokes equations in 3D
|
| gptkbp:includes |
momentum equation
incompressibility condition |
| gptkbp:mathematical_form |
∂u/∂t + (u·∇)u = -∇p/ρ + ν∇²u + f
∇·u = 0 |
| gptkbp:namedAfter |
gptkb:George_Gabriel_Stokes
gptkb:Claude-Louis_Navier |
| gptkbp:open_problem |
global regularity
|
| gptkbp:parameter |
f (body force per unit mass)
ν (kinematic viscosity) ρ (density) |
| gptkbp:relatedTo |
gptkb:Millennium_Prize_Problems
|
| gptkbp:used_in |
computational fluid dynamics
fluid dynamics |
| gptkbp:variant |
p (pressure)
u (velocity vector) |
| gptkbp:bfsParent |
gptkb:Navier–Stokes_existence_and_smoothness
|
| gptkbp:bfsLayer |
7
|