A viscous thin-film equation with a singular diffusion

被引：0
|
作者：
Xiting Peng
Bo Liang
Min Pang
Ying Wang
机构：
[1] Dalian Jiaotong University,School of Science
来源：
Boundary Value Problems | / 2016卷
关键词：
fourth-order parabolic; thin-film equation; entropy functional; singular diffusion;
D O I：
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学科分类号：
摘要：
The paper is devoted to studying a viscous thin-film equation with a singular diffusion term and the periodic boundary conditions in multidimensional space, which has a lot of applications in fluids theory such as draining of foams and the movement of contact lenses. In order to obtain the necessary uniform estimates and overcome the difficulty of a singular diffusion term, the entropy functional method is used. Finally, the existence of nonnegative weak solutions is obtained by some compactness arguments.
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