English

Liouville Type Theorem for Stationary Navier-Stokes Equations

Analysis of PDEs 2016-07-20 v1

Abstract

It is shown that any smooth solution to the stationary Navier-Stokes system in R3R^3 with the velocity field, belonging globally to L6L_6 and BM01BM0^{-1}, must be zero.

Keywords

Cite

@article{arxiv.1512.02915,
  title  = {Liouville Type Theorem for Stationary Navier-Stokes Equations},
  author = {Gregory Seregin},
  journal= {arXiv preprint arXiv:1512.02915},
  year   = {2016}
}

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7 pages