Moving-boundary and fixed-domain problems for a sixth-order thin-film equation

被引：51

作者：

Flitton, JC ^{[1
]}

King, JR ^{[1
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Theoret Mech Sect, Nottingham NG7 2RD, England

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2004年 / 15卷

关键词：

D O I：

10.1017/S0956792504005753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine a number of initial boundary value problems for a paradigm sixth-order degenerate parabolic equation of the form h(1) = (h(n)h(xxxxx))(x) which arises when considering the motion of a thin film of viscous fluid driven by an overlying elastic plate. Analytical and numerical methods are exploited to characterise the solutions, which turn out to be rather sensitive to the value of n.

引用

页码：713 / 754

页数：42