Global existence of strong solutions for 2-dimensional Navier-Stokes equations on exterior domains with growing data at infinity

Michele Campiti, Giovanni P. Galdi, Matthias Georg Hieber

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It is proved the existence of a unique, global strong solution to the two-dimensional Navier-Stokes initial-value problem in exterior domains in the case where the velocity field tends, at large spatial distance, to a prescribed velocity field that is allowed to grow linearly.

Original languageEnglish
Pages (from-to)1613-1627
Number of pages15
JournalCommunications on Pure and Applied Analysis
Volume13
Issue number4
DOIs
Publication statusPublished - 2014 Jul
Externally publishedYes

Fingerprint

Exterior Domain
Strong Solution
Global Existence
Velocity Field
Navier Stokes equations
Navier-Stokes Equations
Infinity
Navier-Stokes Problem
Initial value problems
Initial Value Problem
Linearly
Tend

Keywords

  • Exterior domains
  • Navier-Stokes with linearly growing data

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Global existence of strong solutions for 2-dimensional Navier-Stokes equations on exterior domains with growing data at infinity. / Campiti, Michele; Galdi, Giovanni P.; Hieber, Matthias Georg.

In: Communications on Pure and Applied Analysis, Vol. 13, No. 4, 07.2014, p. 1613-1627.

Research output: Contribution to journalArticle

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