Steady-State Navier-Stokes Flows Past a Rotating Body: Leray Solutions are Physically Reasonable

Giovanni P. Galdi, Mads Kyed

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

A rigid body, B moves in a Navier-Stokes liquid,L, filling the whole space outside B We assume that, when referred to a frame attached to B, the nonzero velocity of the center of mass, ξ, and the angular velocity, ω, of are constant and that the flow of L is steady. Our main theorem implies that every "weak" steady-state solution in the sense of Leray is, in fact, physically reasonable in the sense of Finn, for data of arbitrary "size". Such a theorem improves and generalizes an analogous famous result of Babenko (Math USSR Sb 20:1-25, 1973), obtained in the case ω = 0.

Original languageEnglish
Pages (from-to)21-58
Number of pages38
JournalArchive for Rational Mechanics and Analysis
Volume200
Issue number1
DOIs
Publication statusPublished - 2011 Apr
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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