The Stokes problem for Lipschitz domains

Hi Jun Choe; Hideo Kozono

doi:10.1512/iumj.2002.51.2257

The Stokes problem for Lipschitz domains

Hi Jun Choe^*, Hideo Kozono

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

We consider initial boundary value problems for the Stokes equations in a Lipschitz domain. We show the existence of solutions in an enlarged mixed normed potential space on the boundary.

Original language	English
Pages (from-to)	1235-1260
Number of pages	26
Journal	Indiana University Mathematics Journal
Volume	51
Issue number	5
DOIs	https://doi.org/10.1512/iumj.2002.51.2257
Publication status	Published - 2002 Jan 1
Externally published	Yes

Keywords

Initial-Dirichlet problems
Layer potential
Lipschitz domain
Mixed normed spaces
Newmann problems
Stokes equations

ASJC Scopus subject areas

Mathematics(all)

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10.1512/iumj.2002.51.2257

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title = "The Stokes problem for Lipschitz domains",

abstract = "We consider initial boundary value problems for the Stokes equations in a Lipschitz domain. We show the existence of solutions in an enlarged mixed normed potential space on the boundary.",

keywords = "Initial-Dirichlet problems, Layer potential, Lipschitz domain, Mixed normed spaces, Newmann problems, Stokes equations",

author = "Choe, {Hi Jun} and Hideo Kozono",

year = "2002",

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day = "1",

doi = "10.1512/iumj.2002.51.2257",

language = "English",

volume = "51",

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T1 - The Stokes problem for Lipschitz domains

AU - Choe, Hi Jun

AU - Kozono, Hideo

PY - 2002/1/1

Y1 - 2002/1/1

N2 - We consider initial boundary value problems for the Stokes equations in a Lipschitz domain. We show the existence of solutions in an enlarged mixed normed potential space on the boundary.

AB - We consider initial boundary value problems for the Stokes equations in a Lipschitz domain. We show the existence of solutions in an enlarged mixed normed potential space on the boundary.

KW - Initial-Dirichlet problems

KW - Layer potential

KW - Lipschitz domain

KW - Mixed normed spaces

KW - Newmann problems

KW - Stokes equations

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DO - 10.1512/iumj.2002.51.2257

M3 - Article

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SP - 1235

EP - 1260

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 5

ER -

The Stokes problem for Lipschitz domains

Abstract

Keywords

ASJC Scopus subject areas

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