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math.DS2026
Global Well-Posedness and Asymptotic Behavior of Energy-Damped Subquintic Wave Equations
Irena Lasiecka, Yanan Li, Vando Narciso
In this article, we consider a wave equation on a bounded three-dimensional domain, featuring a degenerate nonlocal damping mechanism that depends on the system's energy and a sour…
math.DS2025
Stabilizing Energy-Critical Wave Equation to a Finite Dimensional Attractor via Nonlinear Damping
Irena Lasiecka, Vando Narciso
The wave equation with energy critical sources and nonlinear damping defined on a 3D bounded domain is considered. It is shown that the resulting dynamical system admits a global a…
math.DS2025
Attractors for Second Order in Time Non-Conservative Dynamics with Nonlinear Damping
Irena Lasiecka, Jose H. Rodrigues, Madhumita Roy
A long-time behavior of solutions to a nonlinear plate model subject to non-conservative and non-dissipative effects and nonlinear damping is considered. The model under study is a…