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