Geodesic
A general decay estimate for a finite memory thermoelastic Bresse system
Applications of Mathematics, Tome 67 (2022) no. 5, pp. 633-656.

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This work considers a Bresse system with viscoelastic damping on the vertical displacement and heat conduction effect on the shear angle displacement. A general stability result with minimal condition on the relaxation function is obtained. The system under investigation, to the best of our knowledge, is new and has not been studied before in the literature. What is more interesting is the fact that our result holds without the imposition of the equal speed of wave propagation condition, and differentiation of the equations of the system, as against the usual practice in the literature.
DOI : 10.21136/AM.2022.0224-20
Classification : 35B35, 35B40, 35L05, 35L20, 74D10
Keywords: general decay; Bresse system; nonequal speed; viscoelastic; thermoelastic 
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Enyi, Cyril Dennis; Mukiawa, Soh Edwin. A general decay estimate for a finite memory thermoelastic Bresse system. Applications of Mathematics, Tome 67 (2022) no. 5, pp. 633-656. doi : 10.21136/AM.2022.0224-20. http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0224-20/

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