EXISTENCE OF GLOBAL WEAK SOLUTIONS TO THE DYNAMIC PROBLEM FOR A 3-DIMENSIONAL ELASTIC BODY WITH SINGULAR MEMORY

被引：9

作者：

BELLOUT, H ^{[1
]}

BLOOM, F ^{[1
]}

NECAS, J ^{[1
]}

机构：

[1] CHARLES UNIV, INST MATH, CS-11636 PRAGUE 1, CZECHOSLOVAKIA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1993年 / 24卷 / 01期

关键词：

SINGULAR VISCOELASTICITY; ENERGY ESTIMATES;

D O I：

10.1137/0524003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A three-dimensional elastic body with memory is considered, for which the memory term is generated by a singular but integrable kernel; the existence of a global weak solution to an associated initial-boundary value problem is established by constructing Galerkin approximations and deriving suitable energy estimates.

引用

页码：36 / 45

页数：10

共 22 条

[1] THE INFLUENCE OF ELASTICITY ON ANALYSIS - MODERN DEVELOPMENTS [J].

ANTMAN, SS .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 9 (03) :267-291

[2]

COLEMAN BD, 1964, ARCH RATION MECH AN, V17, P1

[3] CONVERGENCE OF APPROXIMATE SOLUTIONS TO CONSERVATION-LAWS [J].

DIPERNA, RJ .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1983, 82 (01) :27-70

[4]

DOI M, 1978, J CHEM SOC FARAD T 2, V74, P1789, DOI 10.1039/f29787401789

[5]

DOI M, 1979, J CHEM SOC FARAD T 2, V75, P38, DOI 10.1039/f29797500038

[6] WEAK SOLUTIONS OF A CLASS OF QUASI-LINEAR HYPERBOLIC INTEGRODIFFERENTIAL EQUATIONS DESCRIBING VISCOELASTIC MATERIALS [J].

ENGLER, H .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1991, 113 (01) :1-38

[7]

HANNSGEN KB, 1984, J INTEGRAL EQUAT, V7, P229

[8] ON A CLASS OF QUASI-LINEAR PARTIAL INTEGRODIFFERENTIAL EQUATIONS WITH SINGULAR KERNELS [J].

HRUSA, WJ ;

RENARDY, M .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 64 (02) :195-220

[9]

HRUSA WJ, 1988, SIAM J MATH ANAL, V19, P257, DOI 10.1137/0519019

[10] ON WAVE-PROPAGATION IN LINEAR VISCOELASTICITY [J].

HRUSA, WJ ;

RENARDY, M .

QUARTERLY OF APPLIED MATHEMATICS, 1985, 43 (02) :237-254

← 1 2 3 →