Decay of non-stationary navier-stokes flow with nonzero dirichlet boundary data

Reinhard Farwig, Hideo Kozono, David Wegmann

Research output: Contribution to journalArticlepeer-review

Abstract

Consider the Navier-Stokes equations in a domain with compact boundary and nonzero Dirichlet boundary data. Recently, the first two authors of this article and F. Riechwald showed for an exterior domain the existence of weak solutions of Leray-Hopf type. Starting from the proof of existence, we will get a weak solution satisfying kv(t)k2 → 0 as t → ∞, and determine an upper bound for the decay rate.

Original languageEnglish
Pages (from-to)2169-2185
Number of pages17
JournalIndiana University Mathematics Journal
Volume66
Issue number6
DOIs
Publication statusPublished - 2017

Keywords

  • Asymptotic behaviour
  • Bounded domain
  • Exterior domain
  • Instationary navier-stokes equations
  • Nonzero boundary values
  • Time-dependent data
  • Weak solutions

ASJC Scopus subject areas

  • Mathematics(all)

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