Some Results in Linear Theory of Thermoelasticity Backward in Time for Microstretch Materials

被引：17

作者：

Passarella, Francesca ^{[1
]}

Tibullo, Vincenzo ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Ingn Informaz & Matemat Applicata, I-84084 Fisciano, SA, Italy

来源：

JOURNAL OF THERMAL STRESSES | 2010年 / 33卷 / 06期

关键词：

Asymptotic partition; Backward in time; Impossibility of localization; Thermomicrostretch; STOKES EQUATIONS BACKWARD; ELASTIC SOLIDS; CONTINUOUS DEPENDENCE; ASYMPTOTIC PROPERTY; ENERGETIC METHODS; WAVE EQUATIONS; VOIDS; IMPOSSIBILITY; LOCALIZATION; UNIQUENESS;

D O I：

10.1080/01495731003772811

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper the uniqueness of solutions for the backward in time problem of the linear theory of thermo-microstretch elastic materials is shown and the impossibility of the localization in time of the solution of the corresponding forward in time problem is proved. Moreover, the temporal behavior backward in time of thermoelastodynamics processes is studied by establishing the relations describing the asymptotic behavior of the Cesaro means of the different parts of the total energy.

引用

页码：559 / 576

页数：18

共 50 条

[41] Some variational principles for linear coupled thermoelasticity
Altay, GA
Dokmeci, MC
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1996, 33 (26) : 3937 - 3948
[42] Stability Results for Semi-linear Parabolic Equations Backward in Time
Van Duc N.
Van Thang N.
Acta Mathematica Vietnamica, 2017, 42 (1) : 99 - 111
[43] Potential Method in the Linear Theory of Thermoelasticity with Microtemperatures
Scalia, Antonio
Svanadze, Merab
JOURNAL OF THERMAL STRESSES, 2009, 32 (10) : 1024 - 1042
[44] THEORY OF THERMOELASTICITY OF NON-SIMPLE MATERIALS
WOZNIAK, C
ARCHIWUM MECHANIKI STOSOWANEJ, 1967, 19 (04): : 485 - &
[45] Potential method in the coupled linear quasi-static theory of thermoelasticity for double porosity materials
Mikelashvili, M.
ARCHIVES OF MECHANICS, 2023, 75 (05): : 559 - 590
[46] SOME BACKWARD UNIQUENESS RESULTS
GHIDAGLIA, JM
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1986, 10 (08) : 777 - 790
[47] SOME THEOREMS OF THERMOELASTICITY THEORY FOR ANISOTROPIC SHELLS
SHVETS, RM
FLJACHOK, VM
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1977, (06): : 526 - 530
[48] On the asymptotic spatial behavior in linear thermoelasticity of materials with voids
Pompei, A
Scalia, A
JOURNAL OF THERMAL STRESSES, 2002, 25 (02) : 183 - 193
[49] On the spatial and temporal behavior in linear thermoelasticity of materials with voids
Chirita, S
Scalia, A
JOURNAL OF THERMAL STRESSES, 2001, 24 (05) : 433 - 455
[50] SOME NEW RESULTS IN LINEAR AND NONLINEAR ESTIMATION THEORY
KAILATH, T
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1969, 14 (03): : 530 - &

← 1 2 3 4 5 →