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

收藏

页码：191 / 205

页数：15

相关论文

共 24 条

[11] SIMILARITY SOLUTIONS FOR NONLINEAR DIFFUSION - A NEW INTEGRATION PROCEDURE [J].

HILL, JM .

JOURNAL OF ENGINEERING MATHEMATICS, 1989, 23 (02) :141-155

[12] BUBBLE-GROWTH IN POROUS-MEDIA AND HELE-SHAW CELLS [J].

HOWISON, SD .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1986, 102 :141-148

[13] EXACT SIMILARITY SOLUTIONS TO SOME NONLINEAR DIFFUSION-EQUATIONS [J].

KING, JR .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (16) :3681-3697

[14] THE ISOLATION OXIDATION OF SILICON - THE REACTION-CONTROLLED CASE [J].

KING, JR .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1989, 49 (04) :1064-1080

[15]

KING JR, 1986, THESIS OXFORD U

[16]

Pattle RE, 1959, QUART J MECH APPL MA, V12, P407, DOI DOI 10.1093/QJMAM/12.4.407

[17] A MOMENTS METHOD FOR DESCRIBING DIFFUSION OF RADIATION FROM A CAVITY .2. [J].

POMRANIN.GC .

JOURNAL OF APPLIED PHYSICS, 1968, 39 (03) :1479-&

[18] PROPAGATION OF A NONSPHERICAL THERMAL WAVE [J].

POMRANING, GC .

JOURNAL OF APPLIED PHYSICS, 1972, 43 (06) :2722-+

[19] A MOMENTS METHOD FOR DESCRIBING DIFFUSION OF RADIATION FROM A CAVITY [J].

POMRANING, GC .

JOURNAL OF APPLIED PHYSICS, 1967, 38 (10) :3845-+

[20] SOME HELE SHAW FLOWS WITH TIME-DEPENDENT FREE BOUNDARIES [J].

RICHARDSON, S .

JOURNAL OF FLUID MECHANICS, 1981, 102 (JAN) :263-278