Well-Posedness of Solutions for Sixth-Order Cahn-Hilliard Equation Arising in Oil-Water-Surfactant Mixtures  

作　　者：MENG Haichao ZHAO Xiaopeng 

机构地区：[1]School of Science,Jiangnan University,Wuxi 214122,China [2]School of Sciences,Northeastern University,Shenyang 110819,China

出　　处：《Journal of Partial Differential Equations》2020年第3期193-207,共15页偏微分方程（英文版）

基　　金：supported by the NSFC(grant No.11401258);NSF of Jiangsu Province(grant No.BK20140130);China Postdoctoral Science Foundation(grant No.2015M581-689)。

摘　　要：In this paper,by using the Lp-Lq-estimates,regularization property of the linear part of e^-t△3 and successive approximations,we consider the existence and uniqueness of global mild solutions to the sixth-order Cahn-Hilliard equation arising in oil-water-surfactant mixtures in suitable spaces,namely C^0([0,T];W^2,N(l-1)/2(Ω))when the norm||u0||W^2,N(l-1)/2(Ω)is sufficiently small.

关 键 词：Global solution sixth order Cahn-Hilliard equation UNIQUENESS oil-water-surfactant mixtures 

分 类 号：O175.27[理学—数学]