Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations

Jamel Benameur

Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations

Analysis of PDEs 2013-12-10 v1

Authors: Jamel Benameur

Abstract

In this paper we prove, if $u\in\mathcal C([0,\infty),{\bf {\mathcal X}^{-1}}(\mathbb R^3))$ is global solution of 3D Navier-Stokes equations, then $\|u(t)\|_{{\bf {\mathcal X}^{-1}}}$ decays to zero as time goes to infinity. Fourier analysis and standard techniques are used.

Keywords

navier-stokes equations lei-lin solution long time decay fourier analysis global solution x-1 space

Cite

@article{arxiv.1312.2136,
  title  = {Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations},
  author = {Jamel Benameur},
  journal= {arXiv preprint arXiv:1312.2136},
  year   = {2013}
}

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