English

An analytic solution of the non-stationary Navier-Stokes equation in three dimensions

Mathematical Physics 2015-09-28 v2 math.MP

Abstract

In this paper we describe a method to derive classical solutions of the Navier-Stokes equations for non-stationary initial value problems in domain R^n (n = 2, 3 or higher). A new closed-form analytic solution of the incompressible Navier-Stokes equations on the decay of vortices in a viscous fluid in R3 is presented.

Keywords

Cite

@article{arxiv.1402.1459,
  title  = {An analytic solution of the non-stationary Navier-Stokes equation in three dimensions},
  author = {R. K. Michael Thambynayagam},
  journal= {arXiv preprint arXiv:1402.1459},
  year   = {2015}
}

Comments

This paper has been withdrawn by the author due to a crucial typographical error