On the behaviour of Navier-Stokes equations near a possible singular point

Kyungkeun Kang, Jihoon Lee

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We show that if a singularity of suitable weak solutions to Navier-Stokes equations occurs, then either p or at least two of ∂iv i , i = 1, 2, 3, have neither upper bounds nor lower bounds in any neighbourhood of the singularity. In the case of axially symmetric solutions, we prove that either p or ∂rvr is not bounded both below and above near a singular point, if it exists.

Original languageEnglish
Pages (from-to)3185-3197
Number of pages13
JournalNonlinearity
Volume23
Issue number12
DOIs
Publication statusPublished - 2010 Dec 1

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this