Quantified energy decay of Euler–Bernoulli beams on an unbounded star-shaped network
DOI:
https://doi.org/10.5269/bspm.77325Resumen
This work duscusses the energy decay rates of an infinite star-shaped network of beams with a slight degree of structural damping. Using frequency domain method we prove that the whole system is polynomially stable under some condition on the lengths of the rods.Referencias
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7. Bchatnia, A., El Mufti, K. and Yahia, R., Stability of an infinite star-shaped network of strings by a Kelvin-Voigt
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(2007).
2. Arendt, W. and Batty, C. J. K., Tauberian theorems and stability of one-parameter semigroups, Trans. Amer. Math.
Soc. 306, 837–852, (1988).
3. Assel, R. and Ghazel, M., Energy decay for the damped wave equation on an unbounded network, Evol. Equ. Control
Theory 7, 335–351, (2018).
4. Batty, C. J. K., Chill, R. and Tomilov, Y., Fine scales of decay of operator semigroups, J. Eur. Math. Soc. (JEMS) 18,
853–929, (2016).
5. Bchatnia, A. and Boukhatem, A., Stability of a damped wave equation on an infinite star-shaped network, Evolution
Equations Control Theory 12, 138–153, (2023).
6. Bchatnia, A., Boukhatem, A. and El Mufti, K., Almost periodicity and stability for solutions to networks of beams with
structural damping, Discrete Contin. Dyn. Syst., Ser. S 16, 1201–1215, (2023).
7. Bchatnia, A., El Mufti, K. and Yahia, R., Stability of an infinite star-shaped network of strings by a Kelvin-Voigt
damping, Math. Meth. Appl. Sci. 45, 2024–2041, (2022).
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Publicado
2025-08-13
Número
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Special Issue: Advanced Computational Methods for Fractional Calculus
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