Asymptotics of Stationary Navier Stokes Equations in Higher Dimensions

Research output: Contribution to journalArticle

Abstract

We show that the asymptotics of solutions to stationary Navier Stokes equations in 4, 5 or 6 dimensions in the whole space with a smooth compactly supported forcing are given by the linear Stokes equation. We do not need to assume any smallness condition. The result is in contrast to three dimensions, where the asymptotics for steady states are different from the linear Stokes equation, even for small data, while the large data case presents an open problem. The case of dimension n = 2 is still harder.

Original languageEnglish (US)
Pages (from-to)598-611
Number of pages14
JournalActa Mathematica Sinica, English Series
Volume34
Issue number4
DOIs
StatePublished - Apr 1 2018

Keywords

  • Navier Stokes equations
  • asymptotics
  • steady states

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