A note on global existence of strong solution to the 3D micropolar equations with a damping term

被引：0
作者：
Wen Wang
Yunchong Long
机构：
[1] Changchun University of Chinese Medicine,School of Medical Information
[2] Changchun University of Chinese Medicine,Department of Propaganda
来源：
Boundary Value Problems | / 2021卷
关键词：
Micropolar equations; Damping; Global regularity;
D O I：
暂无
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摘要：
This paper studies the Cauchy problem of the 3D incompressible micropolar equations with a damping term σ|u|β−1u\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\sigma |u|^{\beta -1}u$\end{document} (σ>0,1≤β<3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\sigma >0, 1\le \beta <3$\end{document}). It is shown that the strong solutions exist globally for any 1≤β<3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1\le \beta <3$\end{document}.
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