BOUNDARY VALUE PROBLEMS OF THE THEORY OF THERMOELASTICITY WITH MICROTEMPERATURES FOR DOMAINS BOUNDED BY A SPHERICAL SURFACE

被引：0

作者：

Giorgashvili, L. ^{[1
]}

Kharashvili, M. ^{[1
]}

Skhvitaridze, K. ^{[1
]}

Elerdashvili, E. ^{[1
]}

机构：

[1] Georgian Tech Univ, Dept Math, 77 Kostava Str, Tbilisi 0175, Georgia

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2014年 / 61卷

关键词：

Microtemperature; thermoelasticity; Fourier-Laplace series; stationary oscillation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the stationary oscillation case of the theory of linear thermoelasticity of materials with microtemperatures. The representation formula of a general solution of the homogeneous system of differential equations obtained in the paper is expressed by means of seven meta harmonic functions. This formula is very convenient and useful in many particular problems for domains with concrete geometry. Here we demonstrate an application of this formulas to the Dirichlet and Neumann type boundary value problem for a ball. The uniqueness theorems are proved. An explicit solutions in the form of absolutely and uniformly convergent series are constructed.

引用

页码：63 / 82

页数：20

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