A Fourth Order Parabolic Problem with a Nonlinear Diffusion

被引：0
作者：
Liang, Bo [1 ]
Gao, Jinghua [1 ]
Wang, Liyuan [1 ]
Zhu, Yingjie [2 ]
机构：
[1] Dalian Jiaotong Univ, Sch Sci, Dalian 116028, Peoples R China
[2] Changchun Univ, Coll Sci, Changchun 13022, Peoples R China
来源：
2012 INTERNATIONAL CONFERENCE ON MEDICAL PHYSICS AND BIOMEDICAL ENGINEERING (ICMPBE2012) | 2012年 / 33卷
关键词：
thin film; fourth order; diffusion; THIN VISCOUS FILMS; LUBRICATION APPROXIMATION; EQUATION;
D O I：
10.1016/j.phpro.2012.05.028
中图分类号：
Q6 [生物物理学];
学科分类号：
071011 ;
摘要：
The paper investigates a thin film equation with a second-order diffusion term: u(t) + (u(n)u(xxx))(x) - (u(m)u(x))(x) = 0 which has many important applications in biomedicine, biology and physics. For m > n - 1, the solution also converges to its mean at an exponential rate as the time. (C) 2012 Published by Elsevier B. V. Selection and/or peer review under responsibility of ICMPBE International Committee.
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页码：38 / 45
页数：8
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