Global in time solution to the incompressible Navier-Stokes equations on $\Real^n$. An Elementary Approach

Details Global in time solution to the incompressible Navier-Stokes equations on $\Real^n$. An Elementary Approach Global in time solution to the incompressible Navier-Stokes equations on $\Real^n$. An Elementary Approach

2011-07-18

arxiv.org/abs/1107.3403v3

Mathematics

Analysis of PDEs

They are possible other cases at first done not contemplate. This paper has been withdrawn by the author due to a crucial sign

Scientific paper

In this paper we prove a theorem of global time-extension for the local
classical solution of Navier-Stokes's evolution problem in $\Real^n$ with
$n\geqslant2$ 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 $L^\infty$ solution norm.

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