On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain

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6 Citations (Scopus)

Abstract

This paper deals with the local well-posedness of free boundary problems for the Navier-Stokes equations in the case where the uid initially occupies an exterior domain Ω in N-dimensional Euclidian space ℝN.

Original languageEnglish
Pages (from-to)1681-1721
Number of pages41
JournalCommunications on Pure and Applied Analysis
Volume17
Issue number4
DOIs
Publication statusPublished - 2018 Jul

Keywords

  • Exterior domains
  • Free boundary problem
  • Local well-posedness
  • Maximal L-L regularity
  • Navier-Stokes equations
  • Weak Dirichet problem
  • Without surface tension

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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