Well-Posedness of Solutions for Sixth-Order Cahn-Hilliard Equation Arising in Oil-Water-Surfactant Mixtures
Year: 2020
Author: Haichao Meng, Xiaopeng Zhao
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 3 : pp. 193–207
Abstract
In this paper, by using the Lp-Lq-estimates, regularization property of the linear part of e−tΔ3 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 C0([0,T];˙W2,N(l−1)2(Ω)) when the norm ‖u0‖˙W2,N(l−1)2(Ω) is sufficiently small.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v33.n3.1
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 3 : pp. 193–207
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Global solution sixth order Cahn-Hilliard equation uniqueness oil-water-surfactant mixtures.
Author Details
Haichao Meng Email
Xiaopeng Zhao Email
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A Class of Sixth Order Viscous Cahn-Hilliard Equation with Willmore Regularization in ℝ3
Zhao, Xiaopeng
Duan, Ning
Mathematics, Vol. 8 (2020), Iss. 11 P.1865
https://doi.org/10.3390/math8111865 [Citations: 0]