Remarks on the pressure regularity criterion of the micropolar fluid equations in multiplier spaces
type: Item
instance of: scholarly article
title: Remarks on the pressure regularity criterion of the micropolar fluid equations in multiplier spaces
zbMATH Open document ID: 1257.35149
DOI: 10.1155/2012/618084
author: Fengjun Guo
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: This study is devoted to investigating the regularity criterion of weak solutions of the micropolar fluid equations in \(\mathbb R^3\). The weak solution of micropolar fluid equations is proved to be smooth on \((0, T]\) when the pressure \(\pi(x, t)\) satisfies the following growth condition in the multiplier spaces \(\dot{X}^r, \int^T_0 ||\pi(s, \cdot)||^{2/(2-r)}_{\dot{X}^r} / (1 + \ln(e + ||\pi(s, \cdot)||_{L^2})), ds < \infty\), and \(0 \leq r \leq 1\). The previous results on Lorentz spaces and Morrey spaces are obviously improved.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6134128
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/618084
OpenAlex ID: W2122539004
Wikidata QID: Q58695701
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description: scientific article; zbMATH DE number 6134128