Cahn-Hilliard approach to some degenerate parabolic equations with dynamic boundary conditions
Cahn-Hilliard approach to some degenerate parabolic equations with dynamic boundary conditions
复制标题
具有动态边界条件的一些简并抛物线方程的 Cahn-Hilliard 方法
DOI：
10.1007/978-3-319-55795-3_26
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Takeshi Fukao
中科院分区：
文献类型：
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作者：
Takeshi Fukao;Yutaka Tsuzuki and Tomomi Yokota;Takeshi Fukao
本文研究了一类退化抛物型方程在动态边界条件下的适定性。为了刻画Cahn-Hilliard系统中的目标简并抛物型方程，利用合适的极大单调图选取了来自双势垒势凸部的非线性项。本文主要讨论了这类极大单调图在一个假设下的存在性问题。证明了弱解的存在性。
In this paper the well-posedness of some degenerate parabolic equations with a dynamic boundary condition is considered. To characterize the target degenerate parabolic equation from the Cahn–Hilliard system, the nonlinear term coming from the convex part of the double-well potential is chosen using a suitable maximal monotone graph. The main topic of this paper is the existence problem under an assumption for this maximal monotone graph for treating a wider class. The existence of a weak solution is proved.