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.

引用

页码：205 / 217

页数：13

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