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.
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页码：191 / 205
页数：15
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