| Abstract: |
| In this talk we study the asymptotic behavior and stability of a system of $N+1$ serially connected wave equations on adjacent intervals, coupled through $N$ inertia-generating effects at interior junctions. In contrast to earlier works limited to boundary feedback, we consider internal damping applied at different locations along the network and examine how the spatial distribution of these damping mechanisms influences the overall stability. The analysis reveals that both the presence and placement of damping significantly affect the rate of energy decay. The results establish new connections between damping configuration and asymptotic behavior, providing a comprehensive analytical approach to the stabilization of distributed systems with pointwise inertia. |
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