Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2006; 43(4): 733-763

Printed July 1, 2006

Copyright © The Korean Mathematical Society.

Existence of quasi-stationary Stokes flow in a dihedral domain

Bum Ja Jin

Mokpo National University

Abstract

We study quasi-stationary Stokes flow in a dihedral domain arising from a study of a free boundary problem of viscous fluid in a container. We construct an exact solution of quasi-stationary Stokes equations and derive its estimates with norm in a weighted Sobolev spaces.

Keywords: dihedral domain, quasi-stationary, Stokes, existence, mixed boundary conditions

MSC numbers: 35Q30, 76D03