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GLOBAL REGULARITY AND MULTISCALE APPROACH FOR THERMAL RADIATION HEAT TRANSFER
Huang, Jizu; Cao, Liqun
2014
发表期刊MULTISCALE MODELING & SIMULATION
ISSN1540-3459
卷号12期号:2页码:694-724
摘要This paper discusses the multiscale analysis for the thermal radiation heat transfer in composite materials with a periodic microstructure. The new contributions reported in this paper are threefold: global existence of the solution for the nonlinear equation with discontinuous coefficients is proved by using Rothe's method, the multiscale asymptotic expansions of the solution for the thermal radiation heat transfer equation with rapidly oscillating coefficients are presented, and the convergence results between the original solution u(epsilon)( x, t) and the multiscale asymptotic solutions with an explicit convergence rate are obtained.; This paper discusses the multiscale analysis for the thermal radiation heat transfer in composite materials with a periodic microstructure. The new contributions reported in this paper are threefold: global existence of the solution for the nonlinear equation with discontinuous coefficients is proved by using Rothe's method, the multiscale asymptotic expansions of the solution for the thermal radiation heat transfer equation with rapidly oscillating coefficients are presented, and the convergence results between the original solution u(epsilon)( x, t) and the multiscale asymptotic solutions with an explicit convergence rate are obtained.
收录类别SCI
关键词Thermal Radiation Heat Transfer Homogenization Multiscale Asymptotic Expansion Composite Materials
部门归属[Huang, Jizu] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China. [Huang, Jizu] Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China. [Cao, Liqun] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC,NCMIS, Beijing 100190, Peoples R China.
语种英语
WOS记录号WOS:000338838900012
引用统计
内容类型期刊论文
URI标识http://ir.iscas.ac.cn/handle/311060/16876
专题中国科学院软件研究所
推荐引用方式
GB/T 7714
Huang, Jizu,Cao, Liqun. GLOBAL REGULARITY AND MULTISCALE APPROACH FOR THERMAL RADIATION HEAT TRANSFER[J]. MULTISCALE MODELING & SIMULATION,2014,12(2):694-724.
APA Huang, Jizu,&Cao, Liqun.(2014).GLOBAL REGULARITY AND MULTISCALE APPROACH FOR THERMAL RADIATION HEAT TRANSFER.MULTISCALE MODELING & SIMULATION,12(2),694-724.
MLA Huang, Jizu,et al."GLOBAL REGULARITY AND MULTISCALE APPROACH FOR THERMAL RADIATION HEAT TRANSFER".MULTISCALE MODELING & SIMULATION 12.2(2014):694-724.
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