Year: 2026
Type: article
Abstract: ABSTRACT In this paper, we consider a transmission problem for a shear beam model consisting of two different materials joined at an interface. The system is modeled by coupled hyperbolic‐elliptic equations where linear frictional damping is applied to the transverse displacement. Using semigroup theory and nonclassical differential operators, we prove the existence and uniqueness of solutions. We show that the system is exponentially stable when damping is distributed globally across both segments. However, in the case of localized damping on only one segment, we prove that the system is strongly stable but lacks semi‐uniform stability, failing to achieve either exponential or polynomial decay.
DOI: 10.1002/mma.70981
Author: Ahmed Keddi
Institution: Ahmed Draia University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7213763595