@Article{JPDE-33-3,
author = {Meng, Haichao and Zhao, Xiaopeng},
title = {Well-Posedness of Solutions for Sixth-Order Cahn-Hilliard Equation Arising in Oil-Water-Surfactant Mixtures},
journal = {Journal of Partial Differential Equations},
year = {2020},
volume = {33},
number = {3},
pages = {193--207},
abstract = {<p style="text-align: justify;">In this paper, by using the $L_p$-$L_q$-estimates, regularization property of the linear part of $e^{-t\Delta^3}$ 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 $C^0([0,T];\dot{W}^{2,\frac{N(l-1)}2}(\Omega))$ when the norm $\|u_0\|_{\dot{W}^{2,\frac{N(l-1)}2}(\Omega)}$ is sufficiently small.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v33.n3.1},
url = {https://global-sci.com/article/88160/well-posedness-of-solutions-for-sixth-order-cahn-hilliard-equation-arising-in-oil-water-surfactant-mixtures}
}