Speaker
Shengjie Li
Description
In this paper, we investigate the stabilization of a weak viscoelastic wave equation with variable coefficients and an interior delay, which is also subject to a nonlinear boundary dissipation. The existence of weak solution is demonstrated by means of nonlinear semigroup theory. It is noteworthy that the system is non-dissipative. The exponential decay for energy, contingent upon the behavior of viscoelastic effects and strength of delay is achieved subject to sufficiently strong mechanical boundary damping. The precise ranges of admissible parameters ensuring the stability are provided. The methods of proofs are routed in Riemanian geometry.
Authors
Shengjie Li
Prof.
Shugen Chai
Irena Lasiecka
(Systems Research Institute Polish Academy of Sciences)
