Continuous dependence of thermoelasticity problem

Authors

MÜGE MEYVACIFollow
ŞEVKET GÜRFollow

Author ORCID Identifier

MÜGE MEYVACI: 0000-0002-4772-3869

ŞEVKET GÜR: 0000-0002-7180-5952

Abstract

The current study considers the initial boundary value problem for the thermoelastic model. The model in which heat conduction is given by Green and Naghdi's theory is called Type II. It is increasingly accepted that studying the structural stability of the initial boundary value problem is crucial. This is because even minor changes in the equation or its coefficients can lead to significant variations in the solution of the problem. From this point of view, we analyze the structural stability of the solutions, specifically examining the continuous dependence of the solutions on all the coefficients of the thermoelastic system, using the energy method.

DOI

10.55730/1300-0098.3585

Keywords

continuous dependence., structural stability, Thermoelasticity

First Page

238

Last Page

243

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

MEYVACI, MÜGE and GÜR, ŞEVKET (2025) "Continuous dependence of thermoelasticity problem," Turkish Journal of Mathematics: Vol. 49: No. 2, Article 7. https://doi.org/10.55730/1300-0098.3585
Available at: https://journals.tubitak.gov.tr/math/vol49/iss2/7