Well-posedness and exponential stability of a coupled fluid–thermoelastic plate interaction model with second sound
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00033-023-02025-6.pdf
Reference42 articles.
1. Apalara, T.A., Messaoudi, S.A.: An exponential stability result of a Timoshenko system with thermoelasticity with second sound and in the presence of delay. Appl. Math. Optim. 71(3), 449–472 (2015)
2. Avalos, G., Bucci, F.: Rational rates of uniform decay for strong solutions to a fluid–structure PDE system. J. Differ. Equ. 258, 4398–4423 (2015)
3. Avalos, G., Clark, T.J.: A mixed variational formulation for the wellposedness and numerical approximation of a PDE model arising in a 3-D fluid-structure interaction. Evol. Equ. Control Theory 3, 557–578 (2014)
4. Avalos, G., Dvorak, M.: A new maximality argument for a coupled fluid-structure interaction, with implications for a divergence-free finite element method. Appl. Math. (Warsaw) 35, 259–280 (2008)
5. Avalos, G., Lasiecka, I.: Exponential stability of a thermoelastic system with free boundary conditions without mechanical dissipation. SIAM J. Math. Anal. 29, 155–182 (1998)
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