General stabilization of a thermoelastic systems with a boundary control of a memory type
DOI:
https://doi.org/10.24193/subbmath.2022.3.06Keywords:
General stabilization of a thermoelastic systems with a boundary control of a memory typeAbstract
In this paper we consider a mathematical model which describes a system of thermoviscoelasticity with a nonlinear boundary damping. We establish, under appropriate assumptions imposed on kernel of relaxation function and with certain initial data, the general decay rate of the solution energy, which the usual exponential and polynomial decay are only special cases.
This work generalizes and improves earlier results in the literature.
References
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Mustafa M. I., Boundary stabilization of memory-type thermoelastic systems,
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Messaoudi, S.A., Al-Shehri, A., General boundary stabilization of memory-type thermoelasticity, J. Math. Phys. 51, (2010), 103514-1-103514-16.
Messaoudi, S. A., Soufyane, A., decay of solutions of a wave equation with a
boundary control of memory type, Nonlinear Anal. Real World Appl. 11 (2010) 2896-2904.
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