INTEGRAL RESULTS FOR NONLINEAR DIFFUSION-EQUATIONS

被引：27

作者：

KING, JR

机构：

[1] Department of Theoretical Mechanics, University of Nottingham, Nottingham

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 1991年 / 25卷 / 02期

关键词：

D O I：

10.1007/BF00042853

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We show how to construct integral results for the multi-dimensional nonlinear diffusion equation partial-c/partial-t = del. (D(c)del-c), and for some generalisations of this. For appropriate boundary conditions these become integral invariants. An application of these results to determining the large-time behaviour of some radially symmetric problems is indicated.

引用

页码：191 / 205

页数：15

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