On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations
type: Item
instance of: scholarly article
title: On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations
zbMATH Open document ID: 1158.35074
author: Bo-Qing Dong
author: Zhi-Min Chen
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-07-19T00:00:00Z
review text: The purpose of this paper is to show the upper-lower bound estimate for the \(L^2\)-decay rates of higher-order derivatives of solutions to the micropolar fluid motion equations. To this end, the authors examine the decay estimates of derivatives for the solutions to the linearized micropolar fluid motion equations and then extend the estimates on linearized equations to the nonlinear equations by using a generalized Gronwall type argument.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 5173027
zbMATH Keywords: micropolar fluid motion equations
zbMATH Keywords: upper and lower bounds
zbMATH Keywords: \(L^{2}\) decay
MaRDI profile type: Publication
full work available at URL: j.jmaa.2007.01.047
OpenAlex ID: W1979088092
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DOI: 10.1016/J.JMAA.2007.01.047
description: scientific article; zbMATH DE number 5173027