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| GLOBAL REGULARITY AND MULTISCALE APPROACH FOR THERMAL RADIATION HEAT TRANSFER | |
| Huang, Jizu; Cao, Liqun | |
| 2014 | |
| Source | MULTISCALE MODELING & SIMULATION
 |
| ISSN | 1540-3459 |
| Volume | 12Issue:2Pages:694-724 |
| English Abstract | 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. |
| Indexed Type | SCI |
| Keyword | Thermal Radiation Heat Transfer Homogenization Multiscale Asymptotic Expansion Composite Materials |
| Department | [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. |
| Language | 英语 |
| WOS ID | WOS:000338838900012 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/16876 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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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