TY - JOUR
T1 - Stabilization of a Rao-Nakra Sandwich Beam System by Coleman-Gurtin's Thermal Law and Nonlinear Damping of Variable-Exponent Type
AU - Al-Gharabli, Mohammed M.
AU - Al-Omari, Shadi
AU - Al-Mahdi, Adel M.
N1 - Publisher Copyright:
© 2024 Mohammed M. Al-Gharabli et al.
PY - 2024
Y1 - 2024
N2 - In this paper, we explore the asymptotic behavior of solutions in a thermoplastic Rao-Nakra (sandwich beam) beam equation featuring nonlinear damping with a variable exponent. The heat conduction in this context adheres to Coleman-Gurtin's thermal law, encompassing linear damping, Fourier, and Gurtin-Pipkin's laws as specific instances. By employing the multiplier approach, we establish general energy decay results, with exponential decay as a particular manifestation. These findings extend and generalize previous decay results concerning the Rao-Nakra sandwich beam equations.
AB - In this paper, we explore the asymptotic behavior of solutions in a thermoplastic Rao-Nakra (sandwich beam) beam equation featuring nonlinear damping with a variable exponent. The heat conduction in this context adheres to Coleman-Gurtin's thermal law, encompassing linear damping, Fourier, and Gurtin-Pipkin's laws as specific instances. By employing the multiplier approach, we establish general energy decay results, with exponential decay as a particular manifestation. These findings extend and generalize previous decay results concerning the Rao-Nakra sandwich beam equations.
UR - https://www.scopus.com/pages/publications/85186213770
U2 - 10.1155/2024/1615178
DO - 10.1155/2024/1615178
M3 - Article
AN - SCOPUS:85186213770
SN - 2314-4629
VL - 2024
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 1615178
ER -