A third-order differential equation arising in thin-film flows and relevant to Tanner's law

被引：95

作者：

Duffy, BR

Wilson, SK

机构：

[1] Department of Mathematics, University of Strathclyde, Livingstone Tower, Glasgow G1 1XH

来源：

APPLIED MATHEMATICS LETTERS | 1997年 / 10卷 / 03期

关键词：

thin-film flows; moving three-phase contact line; Tanner's Law;

D O I：

10.1016/S0893-9659(97)00036-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we describe for the first time the properties of the general solution to the third-order ordinary differential equation y''' = y(-2) which is important in the study of thin viscous films with surface tension. This solution is then used to solve exactly a problem relevant to Tanner's Law for the speed of a moving three-phase contact line.

引用

页码：63 / 68

页数：6

共 7 条

[1]

Bender C. M., 1999, Advanced Mathematical Methods for Scientists and Engineers, V1

[2] A 3RD-ORDER DIFFERENTIAL-EQUATION [J].