On local uniqueness of weak solutions to the navier-stokes system with BMO -1 initial datum

Igor Kukavica, Vlad Vicol

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We address the problem of local uniqueness of weak solutions to the Navier-Stokes system, with the initial datum in a subspace of BMO -1n). The existence and uniqueness of local mild solutions has been proven by Koch and Tataru (Adv Math 157:22-35, 2001). We present a necessary and sufficient condition for two weak solutions to evolve from the same initial datum, and for weak solutions to be mild.

Original languageEnglish (US)
Pages (from-to)719-732
Number of pages14
JournalJournal of Dynamics and Differential Equations
Volume20
Issue number3
DOIs
StatePublished - Sep 1 2008

All Science Journal Classification (ASJC) codes

  • Analysis

Keywords

  • BMO
  • Mild solutions
  • Navier-Stokes equations
  • Uniqueness
  • Weak solutions

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