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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.DS2026
Dynamics of Fractional Wave Equations with Nonlocal Damping
Raúl E. Vidal, Vando Narciso
In this work we study a fractional wave equation with Balakrishnan--Taylor type damping posed on a bounded domain . The model couples the fractional Laplacian…
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…