An Exact Solution of the 3-D Navier-Stokes Equation

Details An Exact Solution of the 3-D Navier-Stokes Equation An Exact Solution of the 3-D Navier-Stokes Equation

2010-11-30

arxiv.org/abs/1011.6630v1

Physics

Mathematical Physics

User must know Maple 13 symbolic programming

Scientific paper

We continue our work reported earlier (A. Muriel and M. Dresden, Physica D 101, 299, 1997) to calculate the time evolution of the one-particle distribution function. An improved operator formalism, heretofore unexplored, is used for uniform initial data. We then choose a Gaussian pair potential between particles. With these two conditions, the velocity fields, energy and pressure are calculated exactly. All stipulations of the Clay Mathematics Institute for proposed solutions of the 3-D Navier-Stokes Equation are satisfied by our time evolution equation solution. We then substitute the results for the velocity fields into the 3-d Navier-Stokes Equation and calculate the pressure. The results from our time evolution equation and the prescribed pressure from the Navier-Stokes Equation constitute an exact solution to the Navier-Stokes Equation. No turbulence is obtained from the solution. A philosophical discussion of the results, and their meaning for the problem of turbulence concludes this study.

Affiliated with

Also associated with

No associations

Rating

An Exact Solution of the 3-D Navier-Stokes Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Exact Solution of the 3-D Navier-Stokes Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Exact Solution of the 3-D Navier-Stokes Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-445864