Euler equations + viscous stress: ρ(∂v/∂t + v·∇v) = −∇p + μ∇²v + ρg. Existence and smoothness of 3D solutions is a Millennium Problem.
Navier-Stokes equations
Related concepts
- Euler equations (inviscid flow)
- Reynolds number
- Turbulence (open problem)
- Compressible flow
- Boundary layer
- Continuum mechanics
- Magnetohydrodynamics (MHD)
- Computational fluid dynamics (CFD)
- Shakura–Sunyaev α-disk
- Reynolds transport theorem
- Vorticity equation
- Taylor–Couette flow & instability
- Prandtl boundary layer
- Potential flow and complex analysis
- Stokes flow (low Re)
- Non-Newtonian fluids & rheology
- Low-Reynolds-number biological flow
- Solar MHD
- Colloid physics
- Reynolds-number similarity: laminar ↔ turbulent transition at Re ~ 2300