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
Messaoudi, S.A., Al-Khulai_, W., General and optimal decay for a quasilinear
viscoelastic equation, Appl. Math. Lett. 66 (2017) 16-22.
Mustafa M. I., Boundary stabilization of memory-type thermoelastic systems,
Electron. J. Di_erential Equations 2013 No. 52 (2013), 1-16.
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.
Downloads
Additional Files
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.
