On the Cahn-Hilliard equation with degenerate mobility

被引：380
|
作者：
Elliott, CM [1 ]
Garcke, H [1 ]
机构：
[1] INST ANGEW MATH,D-53115 BONN,GERMANY
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1996年 / 27卷 / 02期
关键词：
Cahn-Hilliard equations; degenerate parabolic equations; nonlinear diffusion; phase transitions;
D O I：
10.1137/S0036141094267662
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 +/-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.
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页码：404 / 423
页数：20
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