Weak solutions of the navier-stokes equations with test functions in the weak-L″ space

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5 Citations (Scopus)

Abstract

We show the existence of weak solutions of the Navier-Stokes equations with test functions in the weak-Ln space. As an application, we give a new criterion on uniqueness and regularity of weak solutions which covers the previous results.

Original languageEnglish
Pages (from-to)55-79
Number of pages25
JournalTohoku Mathematical Journal
Volume53
Issue number1
DOIs
Publication statusPublished - 2001 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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