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

[1]

ANDRIANKIN EI, 1959, ZH EKSP TEOR FIZ+, V35, P295

[2] ON THE DISPERSION OF A SOLUTE IN A FLUID FLOWING THROUGH A TUBE [J].

ARIS, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1956, 235 (1200) :67-77

[3]

Barenblatt GI, 1957, PRIKL MATH MECH PMM, V21, P718

[4]

BARENBLATT GI, 1954, PRIKL MAT MEKH, V18, P351

[5] HIGHER-ORDER NONLINEAR DEGENERATE PARABOLIC EQUATIONS [J].

BERNIS, F ;

FRIEDMAN, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1990, 83 (01) :179-206

[6]

Crank J., 1979, MATH DIFFUSION, V2nd

[7] THE MESA PROBLEM - DIFFUSION PATTERNS FOR UT = DEL . (UM-DELTA-U) AS M-]INFINITY [J].

ELLIOTT, CM ;

HERRERO, MA ;

KING, JR ;

OCKENDON, JR .

IMA JOURNAL OF APPLIED MATHEMATICS, 1986, 37 (02) :147-154

[8] THE ANALYSIS OF DIFFUSION DATA BY A METHOD OF MOMENTS [J].

GHEZ, R ;

FEHRIBACH, JD ;

OEHRLEIN, GS .

JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 1985, 132 (11) :2759-2761

[9]

GI B., 1952, PRIKL MAT MEKH, V16, P67

[10] LARGE TIME SOLUTION OF AN INHOMOGENEOUS NON-LINEAR DIFFUSION EQUATION [J].

GRUNDY, RE .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1983, 386 (1791) :347-372