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 | |
| Publication status | Published - 2008 Aug 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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Weighted estimate of the asymptotic profiles of the Navier-Stokes flow in Rn. / Choe, Hi Jun; Jin, Bum Ja.
In: Journal of Mathematical Analysis and Applications, Vol. 344, No. 1, 01.08.2008, p. 353-366.Research output: Contribution to journal › Article
TY - JOUR
T1 - Weighted estimate of the asymptotic profiles of the Navier-Stokes flow in Rn
AU - Choe, Hi Jun
AU - Jin, Bum Ja
PY - 2008/8/1
Y1 - 2008/8/1
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.
UR - http://www.scopus.com/inward/record.url?scp=42649104758&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=42649104758&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2008.02.040
DO - 10.1016/j.jmaa.2008.02.040
M3 - Article
VL - 344
SP - 353
EP - 366
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
ER -