On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations
On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations
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.
micropolar fluid motion equations, upper and lower bounds, L2 decay
1386-1399
Dong, Bo-Qing
3d40f1e0-4de1-491e-9306-1056e1436ec3
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
15 October 2007
Dong, Bo-Qing
3d40f1e0-4de1-491e-9306-1056e1436ec3
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
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), .
(doi:10.1016/j.jmaa.2007.01.047).
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.
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Submitted date: 20 May 2006
Published date: 15 October 2007
Keywords:
micropolar fluid motion equations, upper and lower bounds, L2 decay
Organisations:
Fluid Structure Interactions Group
Identifiers
Local EPrints ID: 50069
URI: http://eprints.soton.ac.uk/id/eprint/50069
ISSN: 0022-247X
PURE UUID: 02b30401-4b86-4985-b03e-2daf7add4272
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Date deposited: 17 Jan 2008
Last modified: 15 Mar 2024 10:02
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Author:
Bo-Qing Dong
Author:
Zhi-Min Chen
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