3 papers
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…
math.AP2025
Mixing for acoustic wave motion with boundary random force
Zhe Jiao, Xiao Li
This paper concerns about the large time behavior of acoustic wave motion driven by a random force acting through the boundary. We begin with an abstract result showing the interco…