Global existence of weak solution to the heat and moisture transport system in fibrous porous media

doi:10.1016/j.jde.2010.05.018

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	Global existence of weak solution to the heat and moisture transport system in fibrous porous media
	Li, Buyang 1; Sun, Weiwei 1; Wang, Yi2
	2010-11-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	249 期号:10 页码:2618-2642
摘要	This paper is concerned with theoretical analysis of a heat and moisture transfer model arising from textile industries, which is described by a degenerate and strongly coupled parabolic system. We prove the global (in time) existence of weak solution by constructing an approximate solution with some standard smoothing. The proof is based on the physical nature of gas convection, in which the heat (energy) flux in convection is determined by the mass (vapor) flux in convection. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Heat and moisture transfer Porous media Global weak solution
DOI	10.1016/j.jde.2010.05.018
语种	英语
资助项目	Research Grants Council of the Hong Kong Special Administrative Region, China[CityU 101906] ; NSFC[10801128]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000282195400013
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9785
专题	应用数学研究所
通讯作者	Sun, Weiwei
作者单位	1.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Buyang,Sun, Weiwei,Wang, Yi. Global existence of weak solution to the heat and moisture transport system in fibrous porous media[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2010,249(10):2618-2642.
APA	Li, Buyang,Sun, Weiwei,&Wang, Yi.(2010).Global existence of weak solution to the heat and moisture transport system in fibrous porous media.JOURNAL OF DIFFERENTIAL EQUATIONS,249(10),2618-2642.
MLA	Li, Buyang,et al."Global existence of weak solution to the heat and moisture transport system in fibrous porous media".JOURNAL OF DIFFERENTIAL EQUATIONS 249.10(2010):2618-2642.