Source Type Solutions of a Fourth Order Degenerate Parabolic Equation

被引：0
|
作者：
Liu Changchun [1 ]
Lian Songzhe [1 ]
Wang, Zhao [1 ]
机构：
[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 22卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Source type solutions; degenerate parabolic equation; existence;
D O I：
10.4208/jpde.v22.n3.2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a generalized thin film equation which is relevant to capillary driven flows of thin films of power-law fluids. We prove that the generalized thin film equation in dimension d >= 2 has a unique source type radial self-similar nonnegative solution if 0 < n < 2p-1 and has no solution of this type if n >= 2p-1.
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页码：205 / 217
页数：13
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