Weighted estimate of the asymptotic profiles of the Navier-Stokes flow in Rn

Hi Jun Choe, Bum Ja Jin

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6 Citations (Scopus)

Abstract

We study the asymptotic profiles of the Navier-Stokes flow and the weighted estimate of the spatial and temporal decay rate of the error term. This paper extends the result of Y. Fujigaki and T. Miyakawa in [Y. Fujigaki, T. Miyakawa, Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the whole space, SIAM J. Math. Anal. 33 (3) (2001) 523-544], where they derived the asymptotic profiles of the Navier-Stokes flow and estimated the temporal decay rate of the error term.

Original languageEnglish
Pages (from-to)353-366
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume344
Issue number1
DOIs
Publication statusPublished - 2008 Aug 1

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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