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Smoothing Effects for Navier-Stokes Equations

Analysis of PDEs 2008-07-01 v1 General Mathematics

Abstract

We prove some smoothing effects for the 3-D Navier-Stokes equations for initial data belonging to the critical Sobolev space H1/2(R3)H^{1/2}(\R^3). Asymptotic behavior of the global solution when the time goes to infinity is studied. We also obtain a new energy estimate. Other results in this direction and with different methods can be found in \cite{C4}.

Keywords

Cite

@article{arxiv.0806.4902,
  title  = {Smoothing Effects for Navier-Stokes Equations},
  author = {Jamel Benameur},
  journal= {arXiv preprint arXiv:0806.4902},
  year   = {2008}
}

Comments

13 pages, submitted

R2 v1 2026-06-21T10:55:55.165Z