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 50 条

[1] A 3-DIMENSIONAL SINGULAR KERNEL PROBLEM IN VISCOELASTICITY: AN EXISTENCE RESULT
Carillo, Sandra
ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 2019, 97
[2] 3-DIMENSIONAL PROBLEM OF STATICS FOR ELASTIC BODY WITH A CRACK
SHJAPOBERSKY, JW
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1978, (01): : 149 - 151
[3] 3-DIMENSIONAL CONTACT PROBLEM FOR A PRESTRESSED ELASTIC BODY
FILIPPOVA, LM
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1978, 42 (06): : 1183 - 1188
[4] Global existence of weak solutions to the boundary value problem for a three-dimensional viscoelastic dynamic system
Qin, TH
JOURNAL OF ELASTICITY, 1996, 42 (02) : 99 - 114
[5] Existence of Weak Solutions for a Nonlocal Singular Elliptic Problem
Chaharlang, M. Makvand
Razani, A.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2021, 11 (01): : 80 - 91
[6] CONDITIONS FOR THE EXISTENCE OF SOLUTIONS OF THE 3-DIMENSIONAL PLANAR TRANSPORTATION PROBLEM
VLACH, M
DISCRETE APPLIED MATHEMATICS, 1986, 13 (01) : 61 - 78
[7] Global weak solutions to a 3-dimensional degenerate and singular chemotaxis-Navier-Stokes system with logistic source
Kurima, Shunsuke
Mizukami, Masaaki
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 46 : 98 - 115
[8] ASYMPTOTIC SOLUTION OF A 3-DIMENSIONAL PROBLEM OF EQUILIBRIUM OF AN ELASTIC BODY WITH A CUT
SHLIAPOBERSKII, IV
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1978, 42 (03): : 556 - 563
[9] On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem
Garain, Prashanta
MANUSCRIPTA MATHEMATICA, 2024, 174 (1-2) : 141 - 158
[10] On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem
Prashanta Garain
manuscripta mathematica, 2024, 174 : 141 - 158

← 1 2 3 4 5 →