On the interior regularity conditions of a suitable weak solution to 3D MHD equations

被引:0
作者
Kim, Jae-Myoung
机构
[1] Univ Malaya, Fac Dent, Kuala Lumpur 50603, Malaysia
[2] Univ Malaya, Fac Dent, Dept Restorat Dent, Prosthodont MRACDS, Kuala Lumpur, Malaysia
[3] Univ Malaya, Fac Dent, Dept Restorat Dent, Kuala Lumpur, Malaysia
[4] Natl Univ Hlth Syst, Div Dent, Singapore, Singapore
[5] Natl Univ Hlth Syst, Ng Teng Fong Gen Hosp, Singapore, Singapore
来源
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2024年 / 49卷 / 06期
关键词
Suitable weak solution; Local regularity condition; 3D MHD equations; SELF-ETCH ADHESIVE; POTASSIUM-IODIDE; POLYALKENOATE CEMENTS; ENAMEL;
D O I
10.2341/23-161-L
中图分类号
R78 [口腔科学];
学科分类号
1003 ;
摘要
We study the local interior regularity condition of a suitable weak solution to MHD equations. We prove that if a vorticity, w belong to Lx,tp,q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_{x,t}<^>{p,q}$$\end{document} in a neighborhood of an interior point with 3p+2q <= 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{3}{p} + \frac{2}{q} \le 2$$\end{document} and 32<p T5, T3; LC - T5, T4, T3 > T2. SC generally exhibited adhesive failures, while LC presented both adhesive and mixed failures. Conclusion: The preferred method for preparing SDF-treated carious dentin before restoration application is PAA for SC and PPA plus RMGIC adhesive for LC HVGICs.
引用
收藏
页码:714 / 724
页数:11
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