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

Hi Jun Choe; Bum Ja Jin

doi:10.1016/j.jmaa.2008.02.040

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

Hi Jun Choe, Bum Ja Jin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 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 language	English
Pages (from-to)	353-366
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	344
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2008.02.040
Publication status	Published - 2008 Aug 1

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jmaa.2008.02.040

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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.",

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N2 - 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.

AB - 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.

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

Abstract

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