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General condition for exponential stability of thermoelastic Bresse systems with Cattaneo's law

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In this paper, we give a new and more general sufficient condition for exponential stability of thermoelastic Bresse systems with heat flux given by Cattaneo's law acting in shear and… Click to show full abstract

In this paper, we give a new and more general sufficient condition for exponential stability of thermoelastic Bresse systems with heat flux given by Cattaneo's law acting in shear and longitudinal motion equations. This condition, which we also prove to be necessary in some special cases, is given by a relation between the constants of the system and generalizes the well-known equal wave speed condition.

Keywords: stability thermoelastic; condition; thermoelastic bresse; exponential stability; condition exponential; bresse systems

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020

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