Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data

Reinhard Farwig, Hideo Kozono, David Wegmann

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Recently, Leray's problem of the L2-decay of a special weak solution to the Navier–Stokes equations with nonhomogeneous boundary values was studied by the authors, exploiting properties of the approximate solutions converging to this solution. In this paper this result is generalized to the case of an arbitrary weak solution satisfying the strong energy inequality.

Original languageEnglish
Pages (from-to)271-286
Number of pages16
JournalJournal of Mathematical Analysis and Applications
Volume453
Issue number1
DOIs
Publication statusPublished - 2017 Sep 1

Keywords

  • Asymptotic behavior
  • Exterior domain
  • Instationary Navier–Stokes equations
  • Nonzero boundary values
  • Time-dependent data
  • Weak solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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