On global weak solutions to the Cauchy problem for the Navier–Stokes equations with large L3-initial data

G. Seregin, V. Šverák

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

The aim of the note is to discuss different definitions of solutions to the Cauchy problem for the Navier–Stokes equations with the initial data belonging to the Lebesgue space L3(R3)

Original languageEnglish (US)
Pages (from-to)269-296
Number of pages28
JournalNonlinear Analysis, Theory, Methods and Applications
Volume154
DOIs
StatePublished - May 1 2017

Bibliographical note

Funding Information:
The paper is supported in parts by RFBR project 14-01-00306. The second author’s research was supported in part by grants DMS 1362467 and DMS 1159376 from the National Science Foundation .

Keywords

  • Global solvability
  • Navier–Stokes equations

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