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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2017 Volume 17, Number 1, Pages 98–109 (Mi dvmg344)

The solvability of the boundary value problem for the system of thermoelasticity equations in space

E. P. Sulyandziga

Far Eastern State Transport University

Abstract: The proposed and substantiated boundary value problem for the linearized three-dimensional system of thermoelasticity equations describing the deformation of a solid body because of its temperature. The existence of weak solutions was proved.

Key words: setting the boundary value problem, system of thermoelasticity, the existence of solutions, estimation of approximate solutions, thermal expansion.

UDC: 517.956+519.633.6+519.633.6

MSC: Primary 35Q74; Secondary 35Q79

Received: 26.02.2016



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