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

  • *Corresponding author

    *Corresponding author 
The first author was supported by CAPES at the Instituto de Matemática of the Universidade Federal do Rio de Janeiro when this work was submitted
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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 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.

    Mathematics Subject Classification: Primary: 35B40, 35E15, 35Q74; Secondary: 74B05, 74F05.


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