Remark on uniqueness of weak solutions to the navier-stokes equations

Hideo Kozono, Hermann Sohr

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

Consider the Navier-Stokes equations with the initial value a and the external force with 2/s + njq < 3. Let v and u be two weak solutions with the same data a and f. If v satisfies the usual energy inequality and if, then we have v = u.Beiräo da Veiga, H., An extension of the classical Prodi-Serrin's condition for the Navier-Stokes equations in Rn. Preprint, Pisa, 1995.

Original languageEnglish
Pages (from-to)255-272
Number of pages18
JournalAnalysis (Germany)
Volume16
Issue number3
DOIs
Publication statusPublished - 1996 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

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