Linked from

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

• Reynolds numberRelated: Their inertial and viscous terms supply the force balance represented by the Reynolds number.

• AerodynamicsRelated: They form the governing equations for most continuous-flow aerodynamic models.

• HydrodynamicsRelated: They express how pressure, viscosity, and external forces govern liquid flow.

• Vector fieldRelated: They evolve fluid velocity fields under pressure, viscosity, and external forces.

• Perturbation theoryRelated: Small departures from simple flows can be analyzed as corrections to known solutions.

• Fluid dynamicsRelated: They express the central momentum balance used to model fluid motion.

• Velocity fieldRelated: Their solutions include velocity fields that satisfy momentum and mass-balance constraints.

• Newtonian fluidRelated: For Newtonian fluids, their viscous term follows directly from the constitutive equation.

• Material derivativeRelated: Their acceleration term is the material derivative of velocity.

• Pressure gradientRelated: Their momentum equation balances pressure-gradient forces against inertia, viscosity, and other forces.

• CurlRelated: Taking curl of these equations yields evolution equations for fluid vorticity.

• Finite volume methodRelated: Finite volume balances handle their advective and diffusive fluxes on engineering meshes.

• Weak solutionRelated: Their global existence theory in three dimensions centers on suitably defined weak solutions.

• Vector calculusRelated: They use vector derivatives to describe fluid acceleration, pressure, and viscosity.

• Kinematic viscosityRelated: Kinematic viscosity sets the coefficient of the momentum-diffusion term in their standard form.

• Transport phenomenaRelated: They combine momentum storage, advection, pressure forces, and viscous transport.

• Lattice Boltzmann methodRelated: These are the macroscopic equations the method is designed to recover.

• Ludwig PrandtlRelated: Prandtl's boundary-layer analysis extracts tractable approximations from these governing equations.

• Taylor–Couette flowRelated: They describe the fluid motion whose stability Taylor analyzed.

• Cauchy stress tensorRelated: Their stress term relates fluid motion to internal forces and material response.

• Large eddy simulationRelated: LES commonly starts from filtered forms of these governing fluid equations.

• Flow velocityRelated: They determine velocity evolution from pressure, viscosity, and applied forces.

• Sobolev inequalityRelated: Sobolev estimates control nonlinear terms in existence and regularity arguments.

• Solenoidal vector fieldRelated: Incompressible Navier–Stokes models impose a solenoidal velocity field.

• Astrophysical fluid dynamicsRelated: They provide the basic continuum equations for many astrophysical flows.

• Multiphase flowRelated: They supply the momentum framework extended by many multiphase-flow models.

• 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.

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

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

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

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

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