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 ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL Xu, Xianmin 2016-10-01 Source Publication DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B ISSN 1531-3492 Volume 21Issue:8Pages:2839-2850 Abstract 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. Keyword The modified Wenzel's equation the modified Cassie's equation homogenization DOI 10.3934/dcdsb.2016075 Language 英语 Funding Project NSFC[11571354] WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000388952800024 Publisher AMER INST MATHEMATICAL SCIENCES-AIMS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/24223 Collection 计算数学与科学工程计算研究所 Corresponding Author Xu, Xianmin Affiliation Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China Recommended CitationGB/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.
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