On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations

Dong, Bo-Qing and Chen, Zhi-Min (2007) On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations. Journal of Mathematical Analysis and Applications, 334, (2), 1386-1399. (doi:10.1016/j.jmaa.2007.01.047)

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Official URL: http://dx.doi.org/10.1016/j.jmaa.2007.01.047

Description/Abstract

The present paper is concerned with asymptotic behaviours of the solutions to the micropolar fluid motion equations in R2. Upper and lower bounds are derived for the L2 decay rates of higher order derivatives of solutions to the micropolar fluid flows. The findings are mainly based on the basic estimates of the linearized micropolar fluid motion equations and generalized Gronwall type argument.

Item Type:Article
ISSN:0022-247 (print)
Uncontrolled Keywords:micropolar fluid motion equations, upper and lower bounds, L2 decay
Related URLs:http://dx.doi.org/10.1016/j.jm...007.01.047
Subjects:Q Science > QA Mathematics
Divisions:University Structure - Pre August 2011 > School of Engineering Sciences > Fluid-Structure Interactions
ePrint ID:50069
URI:http://eprints.soton.ac.uk/id/eprint/50069
Deposited On:17 Jan 2008
Last Modified:01 Jun 2011 01:19

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