On the stability of a thermodiffusion Bresse system

Fayssal Djellali, Soraya Labidi · Journal of Mathematical Physics · 2022

In this work, we investigate a Bresse system with thermal and mass diffusion effects. First, we establish the existence of a unique solution for the problem using the semigroup theory. Then, we show the lack of exponential stability in the case of different wave speeds. Finally, we prove an exponential stability for the considered problem in the case of equal wave speeds.

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