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.

引用

页码：38 / 45

页数：8

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