4 papers
Attractors and Singular Limits for a Quintic Wave Equation with Nonlocal Kelvin--Voigt Damping
Yue Sun, Marcelo M. Cavalcanti, Vando Narciso
In this article, we consider an energy-critical quintic wave equation on a bounded domain with nonlinear and nonlocal Kelvin--Voigt damping of the form $-\|\…
Dynamics of Fractional Wave Equations with Nonlocal Damping
Raúl E. Vidal, 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…
Dynamics for a viscoelastic beam equation with past history and nonlocal boundary dissipation
Linfang Liu, Vando Narciso, Zhijian Yang
This article aims to study the long-time dynamics of the linear viscoelastic plate equation subject to nonlinear and nonl…
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…