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Boundary Value Problems of the Theory of Thermoelasticity with Microtemperatures
Author(s) -
Svanadze Merab
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310368
Subject(s) - boundary value problem , uniqueness , mathematical analysis , mathematics , mixed boundary condition , homogeneous , robin boundary condition , boundary (topology) , value (mathematics) , statistics , combinatorics
The boundary value problems of the steady oscillations of the linear theory of thermoelasticity with microtemperatures are investigated. The uniqueness and existence theorems of solution of the boundary value problems by means of the boundary integral method (potential method) are proved. The Sommerfeld‐Kupradze type radiation conditions are established. The existence of eigenfrequencies of the interior homogeneous boundary value problems of steady oscillations is studied.