Large-time behaviour of energy in elasticity

被引：3

作者：

Qin, YM ^{[1
]}

Rivera, JEM

机构：

[1] Henan Univ, Dept Math, Kaifeng 475001, Peoples R China

[2] LNCC, Natl Lab Sci Computat, BR-25651070 Petropolis, RJ, Brazil

来源：

JOURNAL OF ELASTICITY | 2002年 / 66卷 / 02期

关键词：

global solutions; polynomial decay for the energy; regularity of solution; elastic system;

D O I：

10.1023/A:1021273113197

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is concerned with the large-time behaviour of energy for the n-dimensional nonhomogeneous and anisotropic elastic system with a locally reacting boundary subject to small oscillations. Under reasonable assumptions, the polynomial decay for the energy of such a model has been established. Multiplicative techniques and the energy method are used.

引用

页码：171 / 184

页数：14

共 14 条

[1] [Anonymous], 1992, PITMAN MONOGRAPHS SU
[2] SPECTRAL PROPERTIES OF AN ACOUSTIC BOUNDARY-CONDITION
BEALE, JT
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1976, 25 (09) : 895 - 917
[3] ACOUSTIC BOUNDARY-CONDITIONS
BEALE, JT
ROSENCRA.SI
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (06) : 1276 - 1278
[4] ACOUSTIC SCATTERING FROM LOCALLY REACTING SURFACES
BEALE, JT
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1977, 26 (02) : 199 - 222
[5] LI TT, 1987, CR ACAD SCI I-MATH, V305, P171
[6] Lions J. L., 1972, NONHOMOGENEOUS BOUND, VI
[7] Morse PhilipM., 1987, Theoretical Acoustics
[8] Munoz Rivera J. E., 2001, ADV DIFFERENTIAL EQU, V6, P359
[9] Qin T. L., 1989, PRACTICAL RESERVOIR
[10] Rivera JEM, 2000, APPL MATH LETT, V13, P115

← 1 2 →