Then nature can, as all fluid mechanists already do, come to delight in the equations handed down to us by Claude-Louis Navier and George Gabriel Stokes.

The study of free boundary problems in the Navier-Stokes equations addresses the subtle interplay between the dynamics of viscous, incompressible fluids and the evolution of interfaces whose ...

C. O. Horgan, L. T. Wheeler, Spatial Decay Estimates for the Navier-Stokes Equations with Application to the Problem of Entry Flow, SIAM Journal on Applied ...

Mathematics of Computation, Vol. 57, No. 195 (Jul., 1991), pp. 123-151 (29 pages) We examine certain analytic and numerical aspects of optimal control problems for the stationary Navier-Stokes ...

In addition, I used symbolic computation to display analytic and graphical results, all satisfying the Clay Institute of Mathematics Millennium Problem Definition for the Navier-Stokes Equation.

This problem is more than just an abstract mathematical curiosity. Understanding the behavior of the Navier-Stokes equations has direct implications for practical applications.

New Scientist reports that Kazakh mathematician Mukhtarbay Otelbayev may have solved an extremely difficult and useful mathematics problem: the Navier-Stokes equations. This is one of the Clay ...

Experts approached this problem by attempting to mathematically translate the Boltzmann equation, which describes a gas as microscopic particles bouncing around at a range of speeds, into the ...

Yet, despite all this progress, one of the biggest unsolved mysteries in physics and mathematics remains—the Navier-Stokes equation.