On regularity of stationary stokes and navier-stokes equations near boundary

Kyungkeun Kang

doi:10.1007/s00021-003-0084-3

On regularity of stationary stokes and navier-stokes equations near boundary

Kyungkeun Kang

Department of Mathematics

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

17 Citations (Scopus)

Abstract

We obtain local estimates of the steady-state Stokes system "without pressure" near boundary. As an application of the local estimates, we prove the partial regularity up to the boundary for the stationary Navier-Stokes equations in a smooth domain in five dimension.

Original language	English
Pages (from-to)	78-101
Number of pages	24
Journal	Journal of Mathematical Fluid Mechanics
Volume	6
Issue number	1
DOIs	https://doi.org/10.1007/s00021-003-0084-3
Publication status	Published - 2004

Bibliographical note

Funding Information:
Acknowledgement. This research was supported in part by NSF Grant No. DMS-9877055. The author expresses his deep gratitude to his advisor, Professor Vladimír Sˇverák for guidance and encouragement. The author also thanks referees for helpful comments.

All Science Journal Classification (ASJC) codes

Mathematical Physics
Condensed Matter Physics
Computational Mathematics
Applied Mathematics

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10.1007/s00021-003-0084-3

Cite this

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abstract = "We obtain local estimates of the steady-state Stokes system {"}without pressure{"} near boundary. As an application of the local estimates, we prove the partial regularity up to the boundary for the stationary Navier-Stokes equations in a smooth domain in five dimension.",

author = "Kyungkeun Kang",

note = "Funding Information: Acknowledgement. This research was supported in part by NSF Grant No. DMS-9877055. The author expresses his deep gratitude to his advisor, Professor Vladim{\'i}r Sˇver{\'a}k for guidance and encouragement. The author also thanks referees for helpful comments.",

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PY - 2004

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N2 - We obtain local estimates of the steady-state Stokes system "without pressure" near boundary. As an application of the local estimates, we prove the partial regularity up to the boundary for the stationary Navier-Stokes equations in a smooth domain in five dimension.

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On regularity of stationary stokes and navier-stokes equations near boundary

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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