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.NA2024
Implicit-explicit time discretization schemes for a class of semilinear wave equations with nonautonomous dampings
Zhe Jiao, Yaxu Li, Lijing Zhao
This paper is concerned about the implicit-explicit (IMEX) methods for a class of dissipative wave systems with time-varying velocity feedbacks and nonlinear potential energies, eq…