Abstract
In this paper, we investigate a coupled system modeled by fluid and thermoelastic plate, while the heat effects are modeled by the Cattaneo’s law giving rise to a “second sound” effect. We proved that the coupled system admits a unique global mild solution. Furthermore, we construct the second-order energy to control the term \( \Vert \nabla \theta \Vert _{L^2(\Gamma _0)} \) so as to establish the exponential decay of the solutions.
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This work was supported by the National Natural Science Foundation of China (No. 12271261), the Key Research and Development Program of Jiangsu Province (Social Development) (No. BE2019725) and the Qing Lan Project of Jiangsu Province.
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J. J. and W. L. wrote the main manuscript text. All authors reviewed the manuscript.
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Jiang, J., Liu, W. Well-posedness and exponential stability of a coupled fluid–thermoelastic plate interaction model with second sound. Z. Angew. Math. Phys. 74, 132 (2023). https://doi.org/10.1007/s00033-023-02025-6
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DOI: https://doi.org/10.1007/s00033-023-02025-6