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math.AP2025
Controllability and mixing for acoustic wave motions
Zhe Jiao, Xiao Li, Qin Zhao
This paper concerns the dynamical behaviors of acoustic wave motion driven by a force acting through the boundary. If the boundary force is a suitable control, we show that the dyn…
math.AP2025
Non-convergence and convergence of bounded solutions to semilinear wave equation with dissipative boundary condition
Zhe Jiao, Xiao Li
This paper is concerned with the long-time dynamics of semilinear wave equation subject to dissipative boundary condition. To do so, we first analyze the set of equilibria, and sho…