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

Research output: Contribution to journalArticle

12 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 languageEnglish
Pages (from-to)78-101
Number of pages24
JournalJournal of Mathematical Fluid Mechanics
Volume6
Issue number1
DOIs
Publication statusPublished - 2004 Dec 1

Fingerprint

Stokes
regularity
Navier-Stokes equation
Navier Stokes equations
Navier-Stokes Equations
Regularity
Stationary Navier-Stokes Equations
Partial Regularity
Stokes System
estimates
Estimate

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics

Cite this

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title = "On regularity of stationary stokes and navier-stokes equations near boundary",
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",
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On regularity of stationary stokes and navier-stokes equations near boundary. / Kang, Kyungkeun.

In: Journal of Mathematical Fluid Mechanics, Vol. 6, No. 1, 01.12.2004, p. 78-101.

Research output: Contribution to journalArticle

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