Solvability of the Cauchy Problem for the 3D System of Mathematical Theory of Thermoelasticity

We consider the analytic continuation problem for the solution of the system of thermoelasticity equations in a spatial domain based on its values and the values of its stresses known on part of the domain boundary, i.e., the Cauchy problem.

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Bibliographic Details
Published in:Differential equations 2021-05, Vol.57 (5), p.669-682
Main Authors: Makhmudov, O. I., Niyozov, I. E.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Description
Summary:We consider the analytic continuation problem for the solution of the system of thermoelasticity equations in a spatial domain based on its values and the values of its stresses known on part of the domain boundary, i.e., the Cauchy problem.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266121050104