Each term in any case of the Navier-Stokes equations is a body force.

The Navier-Stokes equations are also of great interest in a purely mathematical sense.

Solutions to the Navier-Stokes equations are used in many practical applications.

He is known for his contributions to the theory of Navier-Stokes equations and numerical analysis.

Under certain mathematical circumstances, blood flow can be modeled by the Navier-Stokes equations.

A similar differentiation is made in the Navier-Stokes equations.

The scheme gives accurate results for the incompressible Navier-Stokes equations.

In these rarefied flows, the Navier-Stokes equations can be inaccurate.

The Navier-Stokes equations were the ultimate target of developers.

It is nearly impossible to mathematically model such a flow using the standard Navier-Stokes equations.

The Navier-Stokes equations dictate not position but rather velocity.

His major contribution however remains the Navier-Stokes equations (1822), central to fluid mechanics.

This operation is applied to the Navier-Stokes equations to eliminate small scales of the solution.

Her primary work was on calculations that were developed in the 19th century to explain the behavior of fluids and known as Navier-Stokes equations.

These models, in general, are mainly focused on the solution of the Navier-Stokes equations for the fluid phase.

It is believed, though not known with certainty, that the Navier-Stokes equations describe turbulence properly.

The Navier-Stokes equations are strictly a statement of the conservation of momentum.

The Navier-Stokes equations describing the motion of the flow have to be solved separately.

Such a motion results in vorticity evolution and satisfies Navier-Stokes equations.

Oseen substituted the following velocity values into the Navier-Stokes equations.

These are known as the Navier-Stokes equations.

Then the Navier-Stokes equations, without additional forcing, reduce to:

To describe fluid velocity field in the channel, using Navier-Stokes equations:

In this case the Navier-Stokes equations reduce to the vorticity-transport equations.

Thus, the Navier-Stokes equations describe the balance of forces acting at any given region of the fluid.