Linked from

The 69 pages that link to Navier–Stokes equations, each with the reason it gives.

• CurrentNarrower topic: These equations provide a general mathematical framework for predicting currents.

• Hydrodynamic modelRelated: They provide the standard continuum equations that many hydrodynamic models solve or approximate.

• Classical fluidRelated: They govern classical fluid motion at continuum scales.

• Eulerian flow fieldRelated: They determine how a fluid velocity field evolves under forces and viscosity.

• G. I. TaylorRelated: Taylor used their consequences to analyze stability and fluid motion.

• Geophysical fluid dynamicsRelated: They provide the governing momentum equations from which geophysical approximations are derived.

• Helmholtz's theoremsCompared with: Viscous terms can diffuse or destroy vorticity, unlike the idealized theorem setting.

• Rayleigh–Plesset equationNarrower topic: The bubble equation follows from radial fluid momentum under simplifying assumptions.

• Agmon's inequalityRelated: Agmon-type bounds help control nonlinear terms involving velocity fields.

• Crocco's theoremCompared with: Unlike the standard inviscid derivation, viscous momentum terms modify the corresponding relation.

• Flow instabilityRelated: Their solutions describe how disturbances evolve in many ordinary flows.

• Hele-Shaw cellNarrower topic: Hele-Shaw flow follows from simplifying these equations for a thin gap and slow motion.

• Interactions in fluidsRelated: Their stress terms encode how pressure and viscosity shape flow.

• Low Reynolds number flowNarrower topic: Low-Reynolds-number flow emerges when their inertial terms become negligible.

• Magnetohydrodynamic techniquesRelated: Magnetohydrodynamic models couple fluid motion equations to electromagnetic forces.

• Numerical methods for partial differential equationsBroader topic: Their nonlinear terms and multiple scales make numerical approximation essential in practical flow problems.

• Rayleigh problemNarrower topic: The Rayleigh problem is a special solution of these governing equations.

• Sir George StokesRelated: Stokes helped derive the equations that now bear his name.

• Taylor–Proudman theoremNarrower topic: The theorem is an idealized limit of rotating-fluid momentum equations.