TY - JOUR
AU - C. Gorain, Ganesh
AU - Carlos,
AU - Vera, Octavio
AU - Ram, Srikanta
PY - 2024/06/10
Y2 - 2024/10/06
TI - Exponential stability of viscoelastic structure with second sound
JF - Electronic Journal of Applied Mathematics
JA - Electron. J. Appl. Math.
VL - 2
IS - 2
SE - Research Article
DO - 10.61383/ejam.20242250
UR - https://ejamjournal.com/index.php/ejam/article/view/ejam.20242250
SP - 10-21
AB - <div><div>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.</div></div>
ER -