TY - JOUR
T1 - Stability results for a laminated thermoviscoelastic system with Fourier’s law
AU - Quispe Méndez, T.
AU - Cabanillas Zannini, V. R.
AU - Ramos, A. J.A.
N1 - Funding Information:
The third author was funded by Conselho Nacional de Desenvolvimento Científico e Tecnológico (Grant No. 310729/2019-0).
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2022/7/2
Y1 - 2022/7/2
N2 - In this paper, we study the qualitative behavior of a mathematical model for two-layered beams with Kelvin–Voigt damping acting at the shear angle. The model describes the behavior of two-layered beams in which slip can occur at the interface with thermodiffusion effects under Fourier’s law. We use semigroups of linear operators theory to prove the proposed problem’s well-posedness and exponential and polynomial stability results in each case addressed. Our stability approach is based on the Gearhart–Prüss–Huang theorem, which characterizes exponential stability, while the polynomial decay rate is obtained using the Borichev and Tomilov theorem.
AB - In this paper, we study the qualitative behavior of a mathematical model for two-layered beams with Kelvin–Voigt damping acting at the shear angle. The model describes the behavior of two-layered beams in which slip can occur at the interface with thermodiffusion effects under Fourier’s law. We use semigroups of linear operators theory to prove the proposed problem’s well-posedness and exponential and polynomial stability results in each case addressed. Our stability approach is based on the Gearhart–Prüss–Huang theorem, which characterizes exponential stability, while the polynomial decay rate is obtained using the Borichev and Tomilov theorem.
UR - https://hdl.handle.net/20.500.12724/17629
UR - https://www.mendeley.com/catalogue/6e09a804-3719-32c0-aa23-e04713eaf674/
U2 - 10.1007/s00033-022-01787-9
DO - 10.1007/s00033-022-01787-9
M3 - Artículo (Contribución a Revista)
AN - SCOPUS:85133325670
SN - 0044-2275
VL - 73
JO - Zeitschrift fur Angewandte Mathematik und Physik
JF - Zeitschrift fur Angewandte Mathematik und Physik
IS - 4
M1 - 152
ER -