Exponential stability result for the wave equation with Kelvin–Voigt damping and past history subject to Wentzell boundary condition and delay term

• Published in: Mathematical methods in the applied sciences Vol. 47; no. 3; pp. 1546 - 1576
• Main Authors: Kechiche, Dounya, Khemmoudj, Ammar, Medjden, Mohammed
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 01.02.2024
• Subjects: Boundary conditions; Damping; Decay; Delay; delay term; frequency domain approach method; Kelvin–Voigt damping; past history term; Stability analysis; wave equation; Wave equations; WBC

In this paper, we present an analysis of stability of solutions corresponding to a variable coefficient's wave equation subject to a locally Kelvin–Voigt damping and distributed effect driven by a nonnegative function b(x)≥0$$ b(x)\ge 0 $$ with dynamic Wentzell boundary conditions and delay ter...