On the Cahn-Hilliard equation with degenerate mobility
On the Cahn-Hilliard equation with degenerate mobility
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DOI：
10.1137/s0036141094267662
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发表时间：
1996-03
影响因子：
2
通讯作者：
C. M. Elliott;H. Garcke
中科院分区：
文献类型：
--
作者：
C. M. Elliott;H. Garcke
给出了扩散迁移率依赖于浓度的Cahn-Hilliard方程解的存在性结果。特别是，流动性被允许消失时，缩放浓度采取的值$ \pm 1$，它示出的解决方案是有界的幅度为1。最后讨论了我们的方法在其他退化四阶抛物型方程中的应用。
An existence result for the Cahn–Hilliard equation with a concentration dependent diffusional mobility is presented. In particular, the mobility is allowed to vanish when the scaled concentration takes the values $ \pm 1$, and it is shown that the solution is bounded by 1 in magnitude. Finally, applications of our method to other degenerate fourth-order parabolic equations are discussed.