ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL

doi:10.3934/dcdsb.2016075

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL
	Xu, Xianmin
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
	2016-10-01
卷号	21 期号:8 页码:2839-2850
关键词	The modified Wenzel's equation the modified Cassie's equation homogenization
ISSN号	1531-3492
DOI	10.3934/dcdsb.2016075
英文摘要	In this paper, we consider the derivation of the modified Wenzel's and Cassie's equations for wetting phenomena on rough surfaces from a three-dimensional phase field model. We derive an effective boundary condition by asymptotic two-scale homogenization technique when the size of the roughness is small. The modified Wenzel's and Cassie's equations for the apparent contact angles on the rough surfaces are then derived from the effective boundary condition. The homogenization results are proved rigorously by the Gamma-convergence theory.
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000388952800024
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/24222]
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Xianmin
作者单位	Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xu, Xianmin. ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2016,21(8):2839-2850.
APA	Xu, Xianmin.(2016).ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,21(8),2839-2850.
MLA	Xu, Xianmin."ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 21.8(2016):2839-2850.