Journal of the
Korean Mathematical Society
JKMS

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

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J. Korean Math. Soc. 2012; 49(6): 1163-1174

Printed November 1, 2012

https://doi.org/10.4134/JKMS.2012.49.6.1163

Copyright © The Korean Mathematical Society.

Spatial decay bounds for a temperature dependent Stokes flow

Jong Chul Song

Hanyang University

Abstract

This paper examines a temperature dependent Stokes flow in a semi-infinite cylinder. Under appropriate initial and boundary conditions the author establishes exponential decay of solutions in energy norm with distance from the finite end of the cylinder.

Keywords: spatial decay bounds, differential inequality, a temperature dependent Stokes flow

MSC numbers: 35Q30, 35B40, 76D07

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