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In this paper, we consider a one-dimensional thermoelastic-Bresse system with a delay t erm, where the heat conduction is given by Cattaneo’s law effective in the shear angle displacement. We… Click to show full abstract
In this paper, we consider a one-dimensional thermoelastic-Bresse system with a delay t erm, where the heat conduction is given by Cattaneo’s law effective in the shear angle displacement. We prove that the system is well-posed by using the semigroup method, and show, using the multiplier method, that the dissipation induced by the heat is strong enough to exponentially stabilize the system in the presence of a “small" delay when the stable number is zero.
Keywords:
thermoelastic bresse;
system;
bresse system;
delay;
well posedness
Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019
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Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!