Global in time solution to the incompressible Navier-Stokes equations on $\Real^n$. An Elementary Approach
Analysis of PDEs
2011-09-02 v3 Mathematical Physics
math.MP
Abstract
In this paper we prove a theorem of global time-extension for the local classical solution of Navier-Stokes's evolution problem in with for incompressible fluids subjected to external forces and regular initial conditions. This will be achieved by expressing the boundedness of the time derivative of the solution norm.
Keywords
Cite
@article{arxiv.1107.3403,
title = {Global in time solution to the incompressible Navier-Stokes equations on $\Real^n$. An Elementary Approach},
author = {Ulisse Iotti},
journal= {arXiv preprint arXiv:1107.3403},
year = {2011}
}
Comments
They are possible other cases at first done not contemplate. This paper has been withdrawn by the author due to a crucial sign error in equation 1 page 4