Taklit Hamadouche, Ammar Khemmoudj

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In this paper, we consider a one-dimensional Bresse system with Cattaneo’s type heat conduction and a nonlinear weakly dissipative boundary feedback localized on a part of the boundary. We show the well-posedness, using the semigroup theory, and establish an explicit and general decay rate result without imposing a specific growth assumption on the behavior of damping terms near zero.


Bresse system; General decay;Cattaneo's law ;Boundary damping;Weak dissipation

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