THE EXISTENCE OF TRAVELING WAVES FOR PHASE FIELD-EQUATIONS AND CONVERGENCE TO SHARP INTERFACE MODELS IN THE SINGULAR LIMIT

被引：25

作者：

CAGINALP, G ^{[1
]}

NISHIURA, Y ^{[1
]}

机构：

[1] HIROSHIMA UNIV,HIROSHIMA 730,JAPAN

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1991年 / 49卷 / 01期

关键词：

D O I：

10.1090/qam/1096237

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：147 / 162

页数：16

共 15 条

[1]

ALIKAKOS ND, 1988, ANN I H POINCARE-AN, V5, P141

[2] ELLIPTIC PROBLEMS INVOLVING PHASE BOUNDARIES SATISFYING A CURVATURE CONDITION [J].

CAGINALP, G ;

FIFE, PC .

IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 38 (03) :195-217

[3] STEFAN AND HELE-SHAW TYPE MODELS AS ASYMPTOTIC LIMITS OF THE PHASE-FIELD EQUATIONS [J].

CAGINALP, G .

PHYSICAL REVIEW A, 1989, 39 (11) :5887-5896

[4]

CAGINALP G, IN PRESS ROCKY MOUNT

[5]

CAGINALP G, 1988, MATERIAL INSTABILITI

[6]

Chow S.-N., 1982, METHODS BIFURCATION

[7] AN EXAMPLE OF BIFURCATION TO HOMOCLINIC ORBITS [J].

CHOW, SN ;

HALE, JK ;

MALLETPARET, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1980, 37 (03) :351-373

[8] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS TO THE STEFAN PROBLEM WITH A KINETIC CONDITION AT THE FREE-BOUNDARY [J].

DEWYNNE, JN ;

HOWISON, SD ;

OCKENDON, JR ;

XIE, W .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1989, 31 :81-96

[9]

FIFE PC, 1977, ARCH RATION MECH AN, V65, P335, DOI 10.1007/BF00250432

[10]

FUJII H, UNPUB EXISTENCE CURV

← 1 2 →