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On Type I Blowups of Suitable Weak Solutions to Navier-Stokes Equations near Boundary

Analysis of PDEs 2019-01-28 v1

Abstract

In this note, boundary Type I blowups of suitable weak solutions to the Navier-Stokes equations are discussed. In particular, it has been shown that, under certain assumptions, the existence of non-trivial mild bounded ancient solutions in half space leads to the existence of suitable weak solutions with Type I blowup on the boundary.

Keywords

Cite

@article{arxiv.1901.08842,
  title  = {On Type I Blowups of Suitable Weak Solutions to Navier-Stokes Equations near Boundary},
  author = {Gregory Seregin},
  journal= {arXiv preprint arXiv:1901.08842},
  year   = {2019}
}

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17 pages