Speaker
Description
In this work, we investigate the dissipative structure of a class of nonlinear coupled suspension bridge systems governed by partial differential equations with memory effects.
We develop an energy based analytical framework that combines multiplier techniques with Lyapunov functionals tailored to the underlying physical energy of the system. This approach allows us to characterize the dissipativity of the coupled system and to establish well-posedness and exponential stability under suitable assumptions on the memory kernel. The results provide a rigorous description of how memory induced dissipation influences the decay of energy and the stabilization of nonlinear distributed systems.
The proposed analysis highlights the role of energy based methods in the modeling and stabilization of complex infrastructure systems governed by PDEs.