Exponential stability of viscoelastic structure with second sound




Viscoelastic structure, Cattaneo’s law, existence of solution, exponential decay


This manuscript deals with a thermo-viscoelastic system describing the vibrations of a flexible structure. We study this structure's stabilization problem when subjected to Kelvin-Voigt damping and the second sound. Cattaneo-Vernotte's law governs the thermal effect, eliminating the physical paradox of equal speed of waves in the classical thermoelastic theory. Semigroup theory proves the solution's existence and uniqueness. Exponential stability is proved by the energy method.


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2024 Jun 10

How to Cite

G. C. Gorain, Carlos, O. Vera, and S. Ram, “Exponential stability of viscoelastic structure with second sound”, Electron. J. Appl. Math., vol. 2, no. 2, pp. 10–21, Jun. 2024.



Research Article
Received 2024 Feb 04
Accepted 2024 Jun 02
Published 2024 Jun 10

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