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L3,∞-solutions to the 3D-Navier-Stokes system in a domain with a curved boundary. / Mikhailov, A. S.; Shilkin, T. N.

In: Journal of Mathematical Sciences, Vol. 143, No. 2, 01.05.2007, p. 2924-2935.

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

Harvard

Mikhailov, AS & Shilkin, TN 2007, 'L3,∞-solutions to the 3D-Navier-Stokes system in a domain with a curved boundary', Journal of Mathematical Sciences, vol. 143, no. 2, pp. 2924-2935. https://doi.org/10.1007/s10958-007-0176-4

APA

Mikhailov, A. S., & Shilkin, T. N. (2007). L3,∞-solutions to the 3D-Navier-Stokes system in a domain with a curved boundary. Journal of Mathematical Sciences, 143(2), 2924-2935. https://doi.org/10.1007/s10958-007-0176-4

Vancouver

Mikhailov AS, Shilkin TN. L3,∞-solutions to the 3D-Navier-Stokes system in a domain with a curved boundary. Journal of Mathematical Sciences. 2007 May 1;143(2):2924-2935. https://doi.org/10.1007/s10958-007-0176-4

Author

Mikhailov, A. S. ; Shilkin, T. N. / L3,∞-solutions to the 3D-Navier-Stokes system in a domain with a curved boundary. In: Journal of Mathematical Sciences. 2007 ; Vol. 143, No. 2. pp. 2924-2935.

BibTeX

@article{45618cfc0c684c5a9a4cc7dd12b08858,
title = "L3,∞-solutions to the 3D-Navier-Stokes system in a domain with a curved boundary",
abstract = "We show that L3,∞-solutions to the three-dimensional Navier-Stokes equations near a curved smooth part of the boundary are H{\"o}lder continuous. The corresponding result near a planar part of the boundary was obtained earlier by G. Seregin. Bigliography: 22 titles.",
author = "Mikhailov, {A. S.} and Shilkin, {T. N.}",
year = "2007",
month = may,
day = "1",
doi = "10.1007/s10958-007-0176-4",
language = "English",
volume = "143",
pages = "2924--2935",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - L3,∞-solutions to the 3D-Navier-Stokes system in a domain with a curved boundary

AU - Mikhailov, A. S.

AU - Shilkin, T. N.

PY - 2007/5/1

Y1 - 2007/5/1

N2 - We show that L3,∞-solutions to the three-dimensional Navier-Stokes equations near a curved smooth part of the boundary are Hölder continuous. The corresponding result near a planar part of the boundary was obtained earlier by G. Seregin. Bigliography: 22 titles.

AB - We show that L3,∞-solutions to the three-dimensional Navier-Stokes equations near a curved smooth part of the boundary are Hölder continuous. The corresponding result near a planar part of the boundary was obtained earlier by G. Seregin. Bigliography: 22 titles.

UR - http://www.scopus.com/inward/record.url?scp=34247376294&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0176-4

DO - 10.1007/s10958-007-0176-4

M3 - Article

AN - SCOPUS:34247376294

VL - 143

SP - 2924

EP - 2935

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 35248318